\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  6.0 & -10.00 x_{1} & -10.00 x_{2} & +  9.00 x_{3} & -5.00 x_{4} & +  8.00 x_{5} & +  5.00 x_{6} & -4.00 x_{7} & -2.00 x_{8} & -3.00 x_{9} & +  7.00 x_{10} & -10.00 x_{11} & -7.00 x_{12} & +  1.00 x_{13} & + 10.00 x_{14} & +  7.00 x_{15}\\
 x_{17}   &  13.0 & +  2.00 x_{1} & -6.00 x_{2} &   & -2.00 x_{4} & -6.00 x_{5} & +  2.00 x_{6} & -8.00 x_{7} & -10.00 x_{8} & +  3.00 x_{9} & -4.00 x_{10} & +  2.00 x_{11} & +  4.00 x_{12} & -8.00 x_{13} & +  6.00 x_{14} & +  1.00 x_{15}\\
 x_{18}   &  -12.0 & +  6.00 x_{1} & -2.00 x_{2} & -1.00 x_{3} & +  4.00 x_{4} & -1.00 x_{5} & +  7.00 x_{6} & -9.00 x_{7} & -1.00 x_{8} & + 10.00 x_{9} & -10.00 x_{10} & -4.00 x_{11} & -8.00 x_{12} &   & -10.00 x_{14} & +  1.00 x_{15}\\
 x_{19}   &  7.0 & +  5.00 x_{1} &   & +  9.00 x_{3} & +  9.00 x_{4} & +  1.00 x_{5} & +  4.00 x_{6} & -8.00 x_{7} & -9.00 x_{8} & +  4.00 x_{9} & -2.00 x_{10} & +  2.00 x_{11} & +  2.00 x_{12} & -2.00 x_{13} & -9.00 x_{14} & -10.00 x_{15}\\
 x_{20}   &  24.0 & -6.00 x_{1} & -9.00 x_{2} & -5.00 x_{3} & +  8.00 x_{4} & -6.00 x_{5} & +  5.00 x_{6} & -2.00 x_{7} & +  8.00 x_{8} & +  7.00 x_{9} & + 10.00 x_{10} & +  5.00 x_{11} & -10.00 x_{12} & -7.00 x_{13} & -1.00 x_{14} & -9.00 x_{15}\\
 x_{21}   &  5.0 & -10.00 x_{1} & -9.00 x_{2} & +  2.00 x_{3} & -8.00 x_{4} & +  4.00 x_{5} & +  8.00 x_{6} & + 10.00 x_{7} & -9.00 x_{8} & -10.00 x_{9} & -10.00 x_{10} & +  5.00 x_{11} & -10.00 x_{12} & -2.00 x_{13} & +  4.00 x_{14} & + 10.00 x_{15}\\
 x_{22}   &  37.0 & -6.00 x_{1} & -2.00 x_{2} & -7.00 x_{3} & -4.00 x_{4} & -9.00 x_{5} & +  1.00 x_{6} & -9.00 x_{7} & +  4.00 x_{8} & +  9.00 x_{9} & +  2.00 x_{10} & +  7.00 x_{11} & -8.00 x_{12} & -10.00 x_{13} & +  1.00 x_{14} & +  6.00 x_{15}\\
 x_{23}   &  -17.0 & +  8.00 x_{1} & +  6.00 x_{2} & +  2.00 x_{3} & +  5.00 x_{4} & +  6.00 x_{5} & +  9.00 x_{6} & -4.00 x_{7} & +  1.00 x_{8} & -10.00 x_{9} & -10.00 x_{10} & -10.00 x_{11} & -2.00 x_{12} & +  7.00 x_{13} & +  4.00 x_{14} & + 10.00 x_{15}\\
 x_{24}   &  49.0 & -2.00 x_{1} & +  3.00 x_{2} & -9.00 x_{3} & -7.00 x_{4} & -8.00 x_{5} & -2.00 x_{6} & -3.00 x_{7} & +  7.00 x_{8} & -9.00 x_{9} & +  3.00 x_{10} & +  3.00 x_{11} & +  9.00 x_{12} & -5.00 x_{13} & + 10.00 x_{14} & +  7.00 x_{15}\\
 x_{25}   &  47.0 & -4.00 x_{1} & -8.00 x_{2} & -3.00 x_{3} & -1.00 x_{4} & -9.00 x_{5} & -6.00 x_{6} & -1.00 x_{7} & -5.00 x_{8} & -7.00 x_{9} & +  7.00 x_{10} & +  2.00 x_{11} & +  1.00 x_{12} & -3.00 x_{13} & +  1.00 x_{14} & +  4.00 x_{15}\\
 x_{26}   &  29.0 & +  8.00 x_{1} & +  5.00 x_{2} & +  7.00 x_{3} & +  3.00 x_{4} & +  2.00 x_{5} & -5.00 x_{6} & -9.00 x_{7} & -8.00 x_{8} & -2.00 x_{9} & -3.00 x_{10} & +  7.00 x_{11} & -6.00 x_{12} & +  3.00 x_{13} & -2.00 x_{14} & -10.00 x_{15}\\
 x_{27}   &  92.0 & -5.00 x_{1} &   & -2.00 x_{3} & -7.00 x_{4} & -1.00 x_{5} & -7.00 x_{6} & -7.00 x_{7} & -5.00 x_{8} & -5.00 x_{9} & -9.00 x_{10} & -1.00 x_{11} & +  8.00 x_{12} & +  8.00 x_{13} & -1.00 x_{14} & -4.00 x_{15}\\
 x_{28}   &  -9.0 & -2.00 x_{1} & +  5.00 x_{2} & + 10.00 x_{3} & +  9.00 x_{4} & -5.00 x_{5} & -10.00 x_{6} & -8.00 x_{7} & -5.00 x_{8} & -7.00 x_{9} & +  6.00 x_{10} & +  1.00 x_{11} & -4.00 x_{12} & +  4.00 x_{13} & +  5.00 x_{14} & +  8.00 x_{15}\\
 x_{29}   &  3.0 & +  4.00 x_{1} & -3.00 x_{2} & -1.00 x_{3} & -6.00 x_{4} & +  4.00 x_{5} & -1.00 x_{6} & +  4.00 x_{7} & -2.00 x_{8} & -2.00 x_{9} & +  9.00 x_{10} & -3.00 x_{11} & +  7.00 x_{12} & -4.00 x_{13} & +  1.00 x_{14} &   \\
 x_{30}   &  -1.0 & +  9.00 x_{1} & +  6.00 x_{2} & -6.00 x_{3} & -6.00 x_{4} & +  5.00 x_{5} & +  5.00 x_{6} & -3.00 x_{7} & +  5.00 x_{8} & -2.00 x_{9} & +  7.00 x_{10} & +  5.00 x_{11} & -6.00 x_{12} & +  5.00 x_{13} & -6.00 x_{14} & +  8.00 x_{15}\\
 x_{31}   &  45.0 & +  3.00 x_{1} & +  6.00 x_{2} & +  9.00 x_{3} & +  8.00 x_{4} & -8.00 x_{5} & + 10.00 x_{6} & -10.00 x_{7} & -8.00 x_{8} & -10.00 x_{9} & +  6.00 x_{10} & -5.00 x_{11} & -5.00 x_{12} & +  4.00 x_{13} & -5.00 x_{14} & -7.00 x_{15}\\
 x_{32}   &  9.0 & -10.00 x_{1} & +  4.00 x_{2} & +  9.00 x_{3} & -8.00 x_{4} & -5.00 x_{5} & +  4.00 x_{6} & -6.00 x_{7} & -4.00 x_{8} & +  6.00 x_{9} & -6.00 x_{10} & -5.00 x_{11} & -10.00 x_{12} & +  2.00 x_{13} & +  7.00 x_{14} & +  7.00 x_{15}\\
\hline
z    &  0.0 & -3.00 x_{1} & -3.00 x_{2} & -1.00 x_{3} & +  1.00 x_{4} & +  4.00 x_{5} & -2.00 x_{6} & +  1.00 x_{7} & +  2.00 x_{8} & +  3.00 x_{9} & -5.00 x_{10} & -2.00 x_{11} & +  4.00 x_{12} & +  5.00 x_{13} & +  2.00 x_{14} &   \\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & + 10.00 y_{16} & -2.00 y_{17} & -6.00 y_{18} & -5.00 y_{19} & +  6.00 y_{20} & + 10.00 y_{21} & +  6.00 y_{22} & -8.00 y_{23} & +  2.00 y_{24} & +  4.00 y_{25} & -8.00 y_{26} & +  5.00 y_{27} & +  2.00 y_{28} & -4.00 y_{29} & -9.00 y_{30} & -3.00 y_{31} & + 10.00 y_{32}\\
 y_{2}   &  1.0 & + 10.00 y_{16} & +  6.00 y_{17} & +  2.00 y_{18} &   & +  9.00 y_{20} & +  9.00 y_{21} & +  2.00 y_{22} & -6.00 y_{23} & -3.00 y_{24} & +  8.00 y_{25} & -5.00 y_{26} &   & -5.00 y_{28} & +  3.00 y_{29} & -6.00 y_{30} & -6.00 y_{31} & -4.00 y_{32}\\
 y_{3}   &  1.0 & -9.00 y_{16} &   & +  1.00 y_{18} & -9.00 y_{19} & +  5.00 y_{20} & -2.00 y_{21} & +  7.00 y_{22} & -2.00 y_{23} & +  9.00 y_{24} & +  3.00 y_{25} & -7.00 y_{26} & +  2.00 y_{27} & -10.00 y_{28} & +  1.00 y_{29} & +  6.00 y_{30} & -9.00 y_{31} & -9.00 y_{32}\\
 y_{4}   &  1.0 & +  5.00 y_{16} & +  2.00 y_{17} & -4.00 y_{18} & -9.00 y_{19} & -8.00 y_{20} & +  8.00 y_{21} & +  4.00 y_{22} & -5.00 y_{23} & +  7.00 y_{24} & +  1.00 y_{25} & -3.00 y_{26} & +  7.00 y_{27} & -9.00 y_{28} & +  6.00 y_{29} & +  6.00 y_{30} & -8.00 y_{31} & +  8.00 y_{32}\\
 y_{5}   &  1.0 & -8.00 y_{16} & +  6.00 y_{17} & +  1.00 y_{18} & -1.00 y_{19} & +  6.00 y_{20} & -4.00 y_{21} & +  9.00 y_{22} & -6.00 y_{23} & +  8.00 y_{24} & +  9.00 y_{25} & -2.00 y_{26} & +  1.00 y_{27} & +  5.00 y_{28} & -4.00 y_{29} & -5.00 y_{30} & +  8.00 y_{31} & +  5.00 y_{32}\\
 y_{6}   &  1.0 & -5.00 y_{16} & -2.00 y_{17} & -7.00 y_{18} & -4.00 y_{19} & -5.00 y_{20} & -8.00 y_{21} & -1.00 y_{22} & -9.00 y_{23} & +  2.00 y_{24} & +  6.00 y_{25} & +  5.00 y_{26} & +  7.00 y_{27} & + 10.00 y_{28} & +  1.00 y_{29} & -5.00 y_{30} & -10.00 y_{31} & -4.00 y_{32}\\
 y_{7}   &  1.0 & +  4.00 y_{16} & +  8.00 y_{17} & +  9.00 y_{18} & +  8.00 y_{19} & +  2.00 y_{20} & -10.00 y_{21} & +  9.00 y_{22} & +  4.00 y_{23} & +  3.00 y_{24} & +  1.00 y_{25} & +  9.00 y_{26} & +  7.00 y_{27} & +  8.00 y_{28} & -4.00 y_{29} & +  3.00 y_{30} & + 10.00 y_{31} & +  6.00 y_{32}\\
 y_{8}   &  1.0 & +  2.00 y_{16} & + 10.00 y_{17} & +  1.00 y_{18} & +  9.00 y_{19} & -8.00 y_{20} & +  9.00 y_{21} & -4.00 y_{22} & -1.00 y_{23} & -7.00 y_{24} & +  5.00 y_{25} & +  8.00 y_{26} & +  5.00 y_{27} & +  5.00 y_{28} & +  2.00 y_{29} & -5.00 y_{30} & +  8.00 y_{31} & +  4.00 y_{32}\\
 y_{9}   &  1.0 & +  3.00 y_{16} & -3.00 y_{17} & -10.00 y_{18} & -4.00 y_{19} & -7.00 y_{20} & + 10.00 y_{21} & -9.00 y_{22} & + 10.00 y_{23} & +  9.00 y_{24} & +  7.00 y_{25} & +  2.00 y_{26} & +  5.00 y_{27} & +  7.00 y_{28} & +  2.00 y_{29} & +  2.00 y_{30} & + 10.00 y_{31} & -6.00 y_{32}\\
 y_{10}   &  1.0 & -7.00 y_{16} & +  4.00 y_{17} & + 10.00 y_{18} & +  2.00 y_{19} & -10.00 y_{20} & + 10.00 y_{21} & -2.00 y_{22} & + 10.00 y_{23} & -3.00 y_{24} & -7.00 y_{25} & +  3.00 y_{26} & +  9.00 y_{27} & -6.00 y_{28} & -9.00 y_{29} & -7.00 y_{30} & -6.00 y_{31} & +  6.00 y_{32}\\
 y_{11}   &  1.0 & + 10.00 y_{16} & -2.00 y_{17} & +  4.00 y_{18} & -2.00 y_{19} & -5.00 y_{20} & -5.00 y_{21} & -7.00 y_{22} & + 10.00 y_{23} & -3.00 y_{24} & -2.00 y_{25} & -7.00 y_{26} & +  1.00 y_{27} & -1.00 y_{28} & +  3.00 y_{29} & -5.00 y_{30} & +  5.00 y_{31} & +  5.00 y_{32}\\
 y_{12}   &  1.0 & +  7.00 y_{16} & -4.00 y_{17} & +  8.00 y_{18} & -2.00 y_{19} & + 10.00 y_{20} & + 10.00 y_{21} & +  8.00 y_{22} & +  2.00 y_{23} & -9.00 y_{24} & -1.00 y_{25} & +  6.00 y_{26} & -8.00 y_{27} & +  4.00 y_{28} & -7.00 y_{29} & +  6.00 y_{30} & +  5.00 y_{31} & + 10.00 y_{32}\\
 y_{13}   &  1.0 & -1.00 y_{16} & +  8.00 y_{17} &   & +  2.00 y_{19} & +  7.00 y_{20} & +  2.00 y_{21} & + 10.00 y_{22} & -7.00 y_{23} & +  5.00 y_{24} & +  3.00 y_{25} & -3.00 y_{26} & -8.00 y_{27} & -4.00 y_{28} & +  4.00 y_{29} & -5.00 y_{30} & -4.00 y_{31} & -2.00 y_{32}\\
 y_{14}   &  1.0 & -10.00 y_{16} & -6.00 y_{17} & + 10.00 y_{18} & +  9.00 y_{19} & +  1.00 y_{20} & -4.00 y_{21} & -1.00 y_{22} & -4.00 y_{23} & -10.00 y_{24} & -1.00 y_{25} & +  2.00 y_{26} & +  1.00 y_{27} & -5.00 y_{28} & -1.00 y_{29} & +  6.00 y_{30} & +  5.00 y_{31} & -7.00 y_{32}\\
 y_{15}   &  1.0 & -7.00 y_{16} & -1.00 y_{17} & -1.00 y_{18} & + 10.00 y_{19} & +  9.00 y_{20} & -10.00 y_{21} & -6.00 y_{22} & -10.00 y_{23} & -7.00 y_{24} & -4.00 y_{25} & + 10.00 y_{26} & +  4.00 y_{27} & -8.00 y_{28} &   & -8.00 y_{30} & +  7.00 y_{31} & -7.00 y_{32}\\
\hline
z    &  -0 & -6.00 y_{16} & -13.00 y_{17} & + 12.00 y_{18} & -7.00 y_{19} & -24.00 y_{20} & -5.00 y_{21} & -37.00 y_{22} & + 17.00 y_{23} & -49.00 y_{24} & -47.00 y_{25} & -29.00 y_{26} & -92.00 y_{27} & +  9.00 y_{28} & -3.00 y_{29} & +  1.00 y_{30} & -45.00 y_{31} & -9.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 11 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{28}   &  0.0558262951817 & +  0.06 y_{6} & -0.06 y_{17} & -0.08 y_{15} & +  0.88 y_{19} & +  0.79 y_{20} & -0.00 y_{4} & -0.67 y_{22} & -0.15 y_{16} & -0.39 y_{24} & -0.44 y_{25} & +  0.55 y_{26} & +  0.09 y_{27} & -0.03 y_{9} & -0.00 y_{1} & -0.30 y_{30} & +  1.41 y_{31} & -0.48 y_{32}\\
 y_{2}   &  1.24130019739 & +  0.09 y_{6} & +  2.20 y_{17} & -0.74 y_{15} & + 13.82 y_{19} & + 16.97 y_{20} & +  0.85 y_{4} & -12.95 y_{22} & +  0.87 y_{16} & -8.79 y_{24} & +  7.40 y_{25} & +  7.51 y_{26} & -1.41 y_{27} & -0.66 y_{9} & +  0.22 y_{1} & -13.27 y_{30} & + 14.10 y_{31} & -21.69 y_{32}\\
 y_{3}   &  0.572746982494 & -0.40 y_{6} & -0.27 y_{17} & +  0.66 y_{15} & -15.89 y_{19} & -0.56 y_{20} & +  0.14 y_{4} & + 11.43 y_{22} & -6.61 y_{16} & + 12.62 y_{24} & +  7.48 y_{25} & -12.03 y_{26} & +  1.04 y_{27} & +  0.11 y_{9} & -0.08 y_{1} & +  7.47 y_{30} & -17.78 y_{31} & -5.68 y_{32}\\
 y_{21}   &  0.0205708183671 & -0.01 y_{6} & -0.13 y_{17} & -0.06 y_{15} & +  0.88 y_{19} & +  0.35 y_{20} & +  0.03 y_{4} & -0.86 y_{22} & -0.86 y_{16} & -0.47 y_{24} & -0.19 y_{25} & +  1.00 y_{26} & +  0.00 y_{27} & -0.02 y_{9} & +  0.03 y_{1} & -0.33 y_{30} & +  0.86 y_{31} & -1.13 y_{32}\\
 y_{5}   &  1.18091447432 & +  0.27 y_{6} & +  6.82 y_{17} & -0.10 y_{15} & -1.77 y_{19} & +  0.80 y_{20} & -0.36 y_{4} & +  4.83 y_{22} & -8.04 y_{16} & + 11.71 y_{24} & +  8.36 y_{25} & +  0.10 y_{26} & +  1.98 y_{27} & -0.35 y_{9} & +  0.36 y_{1} & +  1.61 y_{30} & + 13.11 y_{31} & +  2.61 y_{32}\\
 y_{23}   &  0.0166521049736 & -0.04 y_{6} & +  0.12 y_{17} & +  0.03 y_{15} & -0.66 y_{19} & -0.14 y_{20} & -0.03 y_{4} & +  0.94 y_{22} & +  0.31 y_{16} & +  0.07 y_{24} & +  0.11 y_{25} & -0.55 y_{26} & +  0.25 y_{27} & +  0.05 y_{9} & -0.03 y_{1} & -0.15 y_{30} & -1.48 y_{31} & +  0.94 y_{32}\\
 y_{7}   &  2.84077274051 & +  0.18 y_{6} & +  7.13 y_{17} & -0.51 y_{15} & +  3.98 y_{19} & -0.17 y_{20} & -0.71 y_{4} & +  5.88 y_{22} & +  9.20 y_{16} & +  9.29 y_{24} & +  3.38 y_{25} & +  9.92 y_{26} & + 16.75 y_{27} & -0.52 y_{9} & -0.28 y_{1} & +  2.60 y_{30} & + 14.13 y_{31} & +  8.42 y_{32}\\
 y_{8}   &  1.67736789308 & +  0.40 y_{6} & +  7.10 y_{17} & -1.20 y_{15} & + 25.95 y_{19} & +  4.40 y_{20} & +  0.55 y_{4} & -18.85 y_{22} & -6.86 y_{16} & -15.26 y_{24} & +  0.64 y_{25} & + 21.88 y_{26} & +  5.30 y_{27} & -0.56 y_{9} & +  0.14 y_{1} & -13.53 y_{30} & + 30.73 y_{31} & -11.93 y_{32}\\
 y_{18}   &  0.181160405139 & +  0.01 y_{6} & -0.44 y_{17} & -0.10 y_{15} & +  0.75 y_{19} & +  0.52 y_{20} & +  0.02 y_{4} & -1.43 y_{22} & -0.33 y_{16} & +  0.03 y_{24} & +  0.26 y_{25} & +  1.09 y_{26} & +  0.75 y_{27} & -0.09 y_{9} & -0.02 y_{1} & -0.83 y_{30} & +  1.84 y_{31} & -1.24 y_{32}\\
 y_{10}   &  2.63021713102 & -1.37 y_{6} & +  3.82 y_{17} & -0.00 y_{15} & -7.85 y_{19} & -27.94 y_{20} & -0.80 y_{4} & -5.11 y_{22} & -16.06 y_{16} & +  5.03 y_{24} & +  0.20 y_{25} & + 12.92 y_{26} & + 21.49 y_{27} & -0.11 y_{9} & +  0.65 y_{1} & -2.97 y_{30} & -23.02 y_{31} & -0.31 y_{32}\\
 y_{11}   &  1.80536841083 & -0.15 y_{6} & -3.15 y_{17} & -0.01 y_{15} & -6.13 y_{19} & -0.05 y_{20} & -0.06 y_{4} & -0.51 y_{22} & + 16.69 y_{16} & -2.58 y_{24} & +  0.64 y_{25} & -12.95 y_{26} & +  5.43 y_{27} & +  0.20 y_{9} & -0.78 y_{1} & -12.90 y_{30} & -1.21 y_{31} & + 13.80 y_{32}\\
 y_{12}   &  2.74153318448 & -0.37 y_{6} & -5.73 y_{17} & -1.00 y_{15} & +  3.92 y_{19} & +  4.66 y_{20} & -0.37 y_{4} & -7.88 y_{22} & -5.13 y_{16} & -7.54 y_{24} & -0.22 y_{25} & + 24.08 y_{26} & +  1.19 y_{27} & -0.73 y_{9} & +  0.73 y_{1} & +  6.44 y_{30} & + 14.87 y_{31} & -7.24 y_{32}\\
 y_{13}   &  0.798453224606 & +  0.30 y_{6} & +  5.37 y_{17} & -0.35 y_{15} & + 11.26 y_{19} & + 14.66 y_{20} & +  0.73 y_{4} & +  1.59 y_{22} & -3.78 y_{16} & +  0.93 y_{24} & +  2.35 y_{25} & +  1.65 y_{26} & -11.42 y_{27} & -0.44 y_{9} & -0.05 y_{1} & -10.17 y_{30} & + 11.60 y_{31} & -11.26 y_{32}\\
 y_{14}   &  2.35928550626 & -0.09 y_{6} & -9.61 y_{17} & -0.41 y_{15} & +  9.68 y_{19} & -0.86 y_{20} & +  0.10 y_{4} & -11.56 y_{22} & -10.45 y_{16} & -5.18 y_{24} & +  4.37 y_{25} & +  8.07 y_{26} & +  7.38 y_{27} & -0.89 y_{9} & -0.07 y_{1} & +  2.85 y_{30} & + 16.44 y_{31} & -15.70 y_{32}\\
 y_{29}   &  0.0242953758535 & +  0.07 y_{6} & -0.44 y_{17} & -0.09 y_{15} & +  1.59 y_{19} & +  2.28 y_{20} & +  0.11 y_{4} & -0.71 y_{22} & +  0.14 y_{16} & -1.04 y_{24} & -0.31 y_{25} & +  0.25 y_{26} & -0.33 y_{27} & -0.03 y_{9} & -0.08 y_{1} & -1.69 y_{30} & +  2.30 y_{31} & -0.58 y_{32}\\
\hline
z    &  2.78370708345 & -0.21 y_{6} & -14.76 y_{17} & -0.88 y_{15} & -10.49 y_{19} & -21.60 y_{20} & -0.80 y_{4} & -37.88 y_{22} & -2.03 y_{16} & -45.45 y_{24} & -44.06 y_{25} & -26.13 y_{26} & -76.95 y_{27} & -0.27 y_{9} & -0.63 y_{1} & -7.42 y_{30} & -46.53 y_{31} & -4.84 y_{32}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.205695239944 & -0.06 x_{28} & -0.09 x_{2} & +  0.40 x_{3} & +  0.01 x_{21} & -0.27 x_{5} & +  0.04 x_{23} & -0.18 x_{7} & -0.40 x_{8} & -0.01 x_{18} & +  1.37 x_{10} & +  0.15 x_{11} & +  0.37 x_{12} & -0.30 x_{13} & +  0.09 x_{14} & -0.07 x_{29}\\
 x_{17}   &  14.7638093389 & +  0.06 x_{28} & -2.20 x_{2} & +  0.27 x_{3} & +  0.13 x_{21} & -6.82 x_{5} & -0.12 x_{23} & -7.13 x_{7} & -7.10 x_{8} & +  0.44 x_{18} & -3.82 x_{10} & +  3.15 x_{11} & +  5.73 x_{12} & -5.37 x_{13} & +  9.61 x_{14} & +  0.44 x_{29}\\
 x_{15}   &  0.876846908067 & +  0.08 x_{28} & +  0.74 x_{2} & -0.66 x_{3} & +  0.06 x_{21} & +  0.10 x_{5} & -0.03 x_{23} & +  0.51 x_{7} & +  1.20 x_{8} & +  0.10 x_{18} & +  0.00 x_{10} & +  0.01 x_{11} & +  1.00 x_{12} & +  0.35 x_{13} & +  0.41 x_{14} & +  0.09 x_{29}\\
 x_{19}   &  10.4868944763 & -0.88 x_{28} & -13.82 x_{2} & + 15.89 x_{3} & -0.88 x_{21} & +  1.77 x_{5} & +  0.66 x_{23} & -3.98 x_{7} & -25.95 x_{8} & -0.75 x_{18} & +  7.85 x_{10} & +  6.13 x_{11} & -3.92 x_{12} & -11.26 x_{13} & -9.68 x_{14} & -1.59 x_{29}\\
 x_{20}   &  21.603417144 & -0.79 x_{28} & -16.97 x_{2} & +  0.56 x_{3} & -0.35 x_{21} & -0.80 x_{5} & +  0.14 x_{23} & +  0.17 x_{7} & -4.40 x_{8} & -0.52 x_{18} & + 27.94 x_{10} & +  0.05 x_{11} & -4.66 x_{12} & -14.66 x_{13} & +  0.86 x_{14} & -2.28 x_{29}\\
 x_{4}   &  0.798809177103 & +  0.00 x_{28} & -0.85 x_{2} & -0.14 x_{3} & -0.03 x_{21} & +  0.36 x_{5} & +  0.03 x_{23} & +  0.71 x_{7} & -0.55 x_{8} & -0.02 x_{18} & +  0.80 x_{10} & +  0.06 x_{11} & +  0.37 x_{12} & -0.73 x_{13} & -0.10 x_{14} & -0.11 x_{29}\\
 x_{22}   &  37.8845872569 & +  0.67 x_{28} & + 12.95 x_{2} & -11.43 x_{3} & +  0.86 x_{21} & -4.83 x_{5} & -0.94 x_{23} & -5.88 x_{7} & + 18.85 x_{8} & +  1.43 x_{18} & +  5.11 x_{10} & +  0.51 x_{11} & +  7.88 x_{12} & -1.59 x_{13} & + 11.56 x_{14} & +  0.71 x_{29}\\
 x_{16}   &  2.02815260654 & +  0.15 x_{28} & -0.87 x_{2} & +  6.61 x_{3} & +  0.86 x_{21} & +  8.04 x_{5} & -0.31 x_{23} & -9.20 x_{7} & +  6.86 x_{8} & +  0.33 x_{18} & + 16.06 x_{10} & -16.69 x_{11} & +  5.13 x_{12} & +  3.78 x_{13} & + 10.45 x_{14} & -0.14 x_{29}\\
 x_{24}   &  45.4508106009 & +  0.39 x_{28} & +  8.79 x_{2} & -12.62 x_{3} & +  0.47 x_{21} & -11.71 x_{5} & -0.07 x_{23} & -9.29 x_{7} & + 15.26 x_{8} & -0.03 x_{18} & -5.03 x_{10} & +  2.58 x_{11} & +  7.54 x_{12} & -0.93 x_{13} & +  5.18 x_{14} & +  1.04 x_{29}\\
 x_{25}   &  44.0595476167 & +  0.44 x_{28} & -7.40 x_{2} & -7.48 x_{3} & +  0.19 x_{21} & -8.36 x_{5} & -0.11 x_{23} & -3.38 x_{7} & -0.64 x_{8} & -0.26 x_{18} & -0.20 x_{10} & -0.64 x_{11} & +  0.22 x_{12} & -2.35 x_{13} & -4.37 x_{14} & +  0.31 x_{29}\\
 x_{26}   &  26.133540433 & -0.55 x_{28} & -7.51 x_{2} & + 12.03 x_{3} & -1.00 x_{21} & -0.10 x_{5} & +  0.55 x_{23} & -9.92 x_{7} & -21.88 x_{8} & -1.09 x_{18} & -12.92 x_{10} & + 12.95 x_{11} & -24.08 x_{12} & -1.65 x_{13} & -8.07 x_{14} & -0.25 x_{29}\\
 x_{27}   &  76.9493026567 & -0.09 x_{28} & +  1.41 x_{2} & -1.04 x_{3} & -0.00 x_{21} & -1.98 x_{5} & -0.25 x_{23} & -16.75 x_{7} & -5.30 x_{8} & -0.75 x_{18} & -21.49 x_{10} & -5.43 x_{11} & -1.19 x_{12} & + 11.42 x_{13} & -7.38 x_{14} & +  0.33 x_{29}\\
 x_{9}   &  0.268478788467 & +  0.03 x_{28} & +  0.66 x_{2} & -0.11 x_{3} & +  0.02 x_{21} & +  0.35 x_{5} & -0.05 x_{23} & +  0.52 x_{7} & +  0.56 x_{8} & +  0.09 x_{18} & +  0.11 x_{10} & -0.20 x_{11} & +  0.73 x_{12} & +  0.44 x_{13} & +  0.89 x_{14} & +  0.03 x_{29}\\
 x_{1}   &  0.633876969873 & +  0.00 x_{28} & -0.22 x_{2} & +  0.08 x_{3} & -0.03 x_{21} & -0.36 x_{5} & +  0.03 x_{23} & +  0.28 x_{7} & -0.14 x_{8} & +  0.02 x_{18} & -0.65 x_{10} & +  0.78 x_{11} & -0.73 x_{12} & +  0.05 x_{13} & +  0.07 x_{14} & +  0.08 x_{29}\\
 x_{30}   &  7.41833155357 & +  0.30 x_{28} & + 13.27 x_{2} & -7.47 x_{3} & +  0.33 x_{21} & -1.61 x_{5} & +  0.15 x_{23} & -2.60 x_{7} & + 13.53 x_{8} & +  0.83 x_{18} & +  2.97 x_{10} & + 12.90 x_{11} & -6.44 x_{12} & + 10.17 x_{13} & -2.85 x_{14} & +  1.69 x_{29}\\
 x_{31}   &  46.5263404847 & -1.41 x_{28} & -14.10 x_{2} & + 17.78 x_{3} & -0.86 x_{21} & -13.11 x_{5} & +  1.48 x_{23} & -14.13 x_{7} & -30.73 x_{8} & -1.84 x_{18} & + 23.02 x_{10} & +  1.21 x_{11} & -14.87 x_{12} & -11.60 x_{13} & -16.44 x_{14} & -2.30 x_{29}\\
 x_{32}   &  4.8423389315 & +  0.48 x_{28} & + 21.69 x_{2} & +  5.68 x_{3} & +  1.13 x_{21} & -2.61 x_{5} & -0.94 x_{23} & -8.42 x_{7} & + 11.93 x_{8} & +  1.24 x_{18} & +  0.31 x_{10} & -13.80 x_{11} & +  7.24 x_{12} & + 11.26 x_{13} & + 15.70 x_{14} & +  0.58 x_{29}\\
\hline
z    &  -2.78370708345 & -0.06 x_{28} & -1.24 x_{2} & -0.57 x_{3} & -0.02 x_{21} & -1.18 x_{5} & -0.02 x_{23} & -2.84 x_{7} & -1.68 x_{8} & -0.18 x_{18} & -2.63 x_{10} & -1.81 x_{11} & -2.74 x_{12} & -0.80 x_{13} & -2.36 x_{14} & -0.02 x_{29}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.205695239944 & -0.06 x_{28} & -0.09 x_{2} & +  0.40 x_{3} & +  0.01 x_{21} & -0.27 x_{5} & +  0.04 x_{23} & -0.18 x_{7} & -0.40 x_{8} & -0.01 x_{18} & +  1.37 x_{10} & +  0.15 x_{11} & +  0.37 x_{12} & -0.30 x_{13} & +  0.09 x_{14} & -0.07 x_{29}\\
 x_{17}   &  14.7638093389 & +  0.06 x_{28} & -2.20 x_{2} & +  0.27 x_{3} & +  0.13 x_{21} & -6.82 x_{5} & -0.12 x_{23} & -7.13 x_{7} & -7.10 x_{8} & +  0.44 x_{18} & -3.82 x_{10} & +  3.15 x_{11} & +  5.73 x_{12} & -5.37 x_{13} & +  9.61 x_{14} & +  0.44 x_{29}\\
 x_{15}   &  0.876846908067 & +  0.08 x_{28} & +  0.74 x_{2} & -0.66 x_{3} & +  0.06 x_{21} & +  0.10 x_{5} & -0.03 x_{23} & +  0.51 x_{7} & +  1.20 x_{8} & +  0.10 x_{18} & +  0.00 x_{10} & +  0.01 x_{11} & +  1.00 x_{12} & +  0.35 x_{13} & +  0.41 x_{14} & +  0.09 x_{29}\\
 x_{19}   &  10.4868944763 & -0.88 x_{28} & -13.82 x_{2} & + 15.89 x_{3} & -0.88 x_{21} & +  1.77 x_{5} & +  0.66 x_{23} & -3.98 x_{7} & -25.95 x_{8} & -0.75 x_{18} & +  7.85 x_{10} & +  6.13 x_{11} & -3.92 x_{12} & -11.26 x_{13} & -9.68 x_{14} & -1.59 x_{29}\\
 x_{20}   &  21.603417144 & -0.79 x_{28} & -16.97 x_{2} & +  0.56 x_{3} & -0.35 x_{21} & -0.80 x_{5} & +  0.14 x_{23} & +  0.17 x_{7} & -4.40 x_{8} & -0.52 x_{18} & + 27.94 x_{10} & +  0.05 x_{11} & -4.66 x_{12} & -14.66 x_{13} & +  0.86 x_{14} & -2.28 x_{29}\\
 x_{4}   &  0.798809177103 & +  0.00 x_{28} & -0.85 x_{2} & -0.14 x_{3} & -0.03 x_{21} & +  0.36 x_{5} & +  0.03 x_{23} & +  0.71 x_{7} & -0.55 x_{8} & -0.02 x_{18} & +  0.80 x_{10} & +  0.06 x_{11} & +  0.37 x_{12} & -0.73 x_{13} & -0.10 x_{14} & -0.11 x_{29}\\
 x_{22}   &  37.8845872569 & +  0.67 x_{28} & + 12.95 x_{2} & -11.43 x_{3} & +  0.86 x_{21} & -4.83 x_{5} & -0.94 x_{23} & -5.88 x_{7} & + 18.85 x_{8} & +  1.43 x_{18} & +  5.11 x_{10} & +  0.51 x_{11} & +  7.88 x_{12} & -1.59 x_{13} & + 11.56 x_{14} & +  0.71 x_{29}\\
 x_{16}   &  2.02815260654 & +  0.15 x_{28} & -0.87 x_{2} & +  6.61 x_{3} & +  0.86 x_{21} & +  8.04 x_{5} & -0.31 x_{23} & -9.20 x_{7} & +  6.86 x_{8} & +  0.33 x_{18} & + 16.06 x_{10} & -16.69 x_{11} & +  5.13 x_{12} & +  3.78 x_{13} & + 10.45 x_{14} & -0.14 x_{29}\\
 x_{24}   &  45.4508106009 & +  0.39 x_{28} & +  8.79 x_{2} & -12.62 x_{3} & +  0.47 x_{21} & -11.71 x_{5} & -0.07 x_{23} & -9.29 x_{7} & + 15.26 x_{8} & -0.03 x_{18} & -5.03 x_{10} & +  2.58 x_{11} & +  7.54 x_{12} & -0.93 x_{13} & +  5.18 x_{14} & +  1.04 x_{29}\\
 x_{25}   &  44.0595476167 & +  0.44 x_{28} & -7.40 x_{2} & -7.48 x_{3} & +  0.19 x_{21} & -8.36 x_{5} & -0.11 x_{23} & -3.38 x_{7} & -0.64 x_{8} & -0.26 x_{18} & -0.20 x_{10} & -0.64 x_{11} & +  0.22 x_{12} & -2.35 x_{13} & -4.37 x_{14} & +  0.31 x_{29}\\
 x_{26}   &  26.133540433 & -0.55 x_{28} & -7.51 x_{2} & + 12.03 x_{3} & -1.00 x_{21} & -0.10 x_{5} & +  0.55 x_{23} & -9.92 x_{7} & -21.88 x_{8} & -1.09 x_{18} & -12.92 x_{10} & + 12.95 x_{11} & -24.08 x_{12} & -1.65 x_{13} & -8.07 x_{14} & -0.25 x_{29}\\
 x_{27}   &  76.9493026567 & -0.09 x_{28} & +  1.41 x_{2} & -1.04 x_{3} & -0.00 x_{21} & -1.98 x_{5} & -0.25 x_{23} & -16.75 x_{7} & -5.30 x_{8} & -0.75 x_{18} & -21.49 x_{10} & -5.43 x_{11} & -1.19 x_{12} & + 11.42 x_{13} & -7.38 x_{14} & +  0.33 x_{29}\\
 x_{9}   &  0.268478788467 & +  0.03 x_{28} & +  0.66 x_{2} & -0.11 x_{3} & +  0.02 x_{21} & +  0.35 x_{5} & -0.05 x_{23} & +  0.52 x_{7} & +  0.56 x_{8} & +  0.09 x_{18} & +  0.11 x_{10} & -0.20 x_{11} & +  0.73 x_{12} & +  0.44 x_{13} & +  0.89 x_{14} & +  0.03 x_{29}\\
 x_{1}   &  0.633876969873 & +  0.00 x_{28} & -0.22 x_{2} & +  0.08 x_{3} & -0.03 x_{21} & -0.36 x_{5} & +  0.03 x_{23} & +  0.28 x_{7} & -0.14 x_{8} & +  0.02 x_{18} & -0.65 x_{10} & +  0.78 x_{11} & -0.73 x_{12} & +  0.05 x_{13} & +  0.07 x_{14} & +  0.08 x_{29}\\
 x_{30}   &  7.41833155357 & +  0.30 x_{28} & + 13.27 x_{2} & -7.47 x_{3} & +  0.33 x_{21} & -1.61 x_{5} & +  0.15 x_{23} & -2.60 x_{7} & + 13.53 x_{8} & +  0.83 x_{18} & +  2.97 x_{10} & + 12.90 x_{11} & -6.44 x_{12} & + 10.17 x_{13} & -2.85 x_{14} & +  1.69 x_{29}\\
 x_{31}   &  46.5263404847 & -1.41 x_{28} & -14.10 x_{2} & + 17.78 x_{3} & -0.86 x_{21} & -13.11 x_{5} & +  1.48 x_{23} & -14.13 x_{7} & -30.73 x_{8} & -1.84 x_{18} & + 23.02 x_{10} & +  1.21 x_{11} & -14.87 x_{12} & -11.60 x_{13} & -16.44 x_{14} & -2.30 x_{29}\\
 x_{32}   &  4.8423389315 & +  0.48 x_{28} & + 21.69 x_{2} & +  5.68 x_{3} & +  1.13 x_{21} & -2.61 x_{5} & -0.94 x_{23} & -8.42 x_{7} & + 11.93 x_{8} & +  1.24 x_{18} & +  0.31 x_{10} & -13.80 x_{11} & +  7.24 x_{12} & + 11.26 x_{13} & + 15.70 x_{14} & +  0.58 x_{29}\\
\hline
z    &  -0.708775847005 & +  0.20 x_{28} & -1.04 x_{2} & -2.51 x_{3} & +  0.12 x_{21} & +  7.02 x_{5} & -0.30 x_{23} & +  2.81 x_{7} & +  4.34 x_{8} & +  0.23 x_{18} & -4.65 x_{10} & -5.17 x_{11} & +  8.03 x_{12} & +  6.06 x_{13} & +  4.19 x_{14} & -0.12 x_{29}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.205695239944 & -0.06 x_{28} & -0.09 x_{2} & +  0.40 x_{3} & +  0.01 x_{21} & -0.27 x_{5} & +  0.04 x_{23} & -0.18 x_{7} & -0.40 x_{8} & -0.01 x_{18} & +  1.37 x_{10} & +  0.15 x_{11} & +  0.37 x_{12} & -0.30 x_{13} & +  0.09 x_{14} & -0.07 x_{29}\\
 x_{17}   &  14.7638093389 & +  0.06 x_{28} & -2.20 x_{2} & +  0.27 x_{3} & +  0.13 x_{21} & -6.82 x_{5} & -0.12 x_{23} & -7.13 x_{7} & -7.10 x_{8} & +  0.44 x_{18} & -3.82 x_{10} & +  3.15 x_{11} & +  5.73 x_{12} & -5.37 x_{13} & +  9.61 x_{14} & +  0.44 x_{29}\\
 x_{15}   &  0.876846908067 & +  0.08 x_{28} & +  0.74 x_{2} & -0.66 x_{3} & +  0.06 x_{21} & +  0.10 x_{5} & -0.03 x_{23} & +  0.51 x_{7} & +  1.20 x_{8} & +  0.10 x_{18} & +  0.00 x_{10} & +  0.01 x_{11} & +  1.00 x_{12} & +  0.35 x_{13} & +  0.41 x_{14} & +  0.09 x_{29}\\
 x_{19}   &  10.4868944763 & -0.88 x_{28} & -13.82 x_{2} & + 15.89 x_{3} & -0.88 x_{21} & +  1.77 x_{5} & +  0.66 x_{23} & -3.98 x_{7} & -25.95 x_{8} & -0.75 x_{18} & +  7.85 x_{10} & +  6.13 x_{11} & -3.92 x_{12} & -11.26 x_{13} & -9.68 x_{14} & -1.59 x_{29}\\
 x_{20}   &  21.603417144 & -0.79 x_{28} & -16.97 x_{2} & +  0.56 x_{3} & -0.35 x_{21} & -0.80 x_{5} & +  0.14 x_{23} & +  0.17 x_{7} & -4.40 x_{8} & -0.52 x_{18} & + 27.94 x_{10} & +  0.05 x_{11} & -4.66 x_{12} & -14.66 x_{13} & +  0.86 x_{14} & -2.28 x_{29}\\
 x_{4}   &  0.798809177103 & +  0.00 x_{28} & -0.85 x_{2} & -0.14 x_{3} & -0.03 x_{21} & +  0.36 x_{5} & +  0.03 x_{23} & +  0.71 x_{7} & -0.55 x_{8} & -0.02 x_{18} & +  0.80 x_{10} & +  0.06 x_{11} & +  0.37 x_{12} & -0.73 x_{13} & -0.10 x_{14} & -0.11 x_{29}\\
 x_{22}   &  37.8845872569 & +  0.67 x_{28} & + 12.95 x_{2} & -11.43 x_{3} & +  0.86 x_{21} & -4.83 x_{5} & -0.94 x_{23} & -5.88 x_{7} & + 18.85 x_{8} & +  1.43 x_{18} & +  5.11 x_{10} & +  0.51 x_{11} & +  7.88 x_{12} & -1.59 x_{13} & + 11.56 x_{14} & +  0.71 x_{29}\\
 x_{16}   &  2.02815260654 & +  0.15 x_{28} & -0.87 x_{2} & +  6.61 x_{3} & +  0.86 x_{21} & +  8.04 x_{5} & -0.31 x_{23} & -9.20 x_{7} & +  6.86 x_{8} & +  0.33 x_{18} & + 16.06 x_{10} & -16.69 x_{11} & +  5.13 x_{12} & +  3.78 x_{13} & + 10.45 x_{14} & -0.14 x_{29}\\
 x_{24}   &  45.4508106009 & +  0.39 x_{28} & +  8.79 x_{2} & -12.62 x_{3} & +  0.47 x_{21} & -11.71 x_{5} & -0.07 x_{23} & -9.29 x_{7} & + 15.26 x_{8} & -0.03 x_{18} & -5.03 x_{10} & +  2.58 x_{11} & +  7.54 x_{12} & -0.93 x_{13} & +  5.18 x_{14} & +  1.04 x_{29}\\
 x_{25}   &  44.0595476167 & +  0.44 x_{28} & -7.40 x_{2} & -7.48 x_{3} & +  0.19 x_{21} & -8.36 x_{5} & -0.11 x_{23} & -3.38 x_{7} & -0.64 x_{8} & -0.26 x_{18} & -0.20 x_{10} & -0.64 x_{11} & +  0.22 x_{12} & -2.35 x_{13} & -4.37 x_{14} & +  0.31 x_{29}\\
 x_{26}   &  26.133540433 & -0.55 x_{28} & -7.51 x_{2} & + 12.03 x_{3} & -1.00 x_{21} & -0.10 x_{5} & +  0.55 x_{23} & -9.92 x_{7} & -21.88 x_{8} & -1.09 x_{18} & -12.92 x_{10} & + 12.95 x_{11} & -24.08 x_{12} & -1.65 x_{13} & -8.07 x_{14} & -0.25 x_{29}\\
 x_{27}   &  76.9493026567 & -0.09 x_{28} & +  1.41 x_{2} & -1.04 x_{3} & -0.00 x_{21} & -1.98 x_{5} & -0.25 x_{23} & -16.75 x_{7} & -5.30 x_{8} & -0.75 x_{18} & -21.49 x_{10} & -5.43 x_{11} & -1.19 x_{12} & + 11.42 x_{13} & -7.38 x_{14} & +  0.33 x_{29}\\
 x_{9}   &  0.268478788467 & +  0.03 x_{28} & +  0.66 x_{2} & -0.11 x_{3} & +  0.02 x_{21} & +  0.35 x_{5} & -0.05 x_{23} & +  0.52 x_{7} & +  0.56 x_{8} & +  0.09 x_{18} & +  0.11 x_{10} & -0.20 x_{11} & +  0.73 x_{12} & +  0.44 x_{13} & +  0.89 x_{14} & +  0.03 x_{29}\\
 x_{1}   &  0.633876969873 & +  0.00 x_{28} & -0.22 x_{2} & +  0.08 x_{3} & -0.03 x_{21} & -0.36 x_{5} & +  0.03 x_{23} & +  0.28 x_{7} & -0.14 x_{8} & +  0.02 x_{18} & -0.65 x_{10} & +  0.78 x_{11} & -0.73 x_{12} & +  0.05 x_{13} & +  0.07 x_{14} & +  0.08 x_{29}\\
 x_{30}   &  7.41833155357 & +  0.30 x_{28} & + 13.27 x_{2} & -7.47 x_{3} & +  0.33 x_{21} & -1.61 x_{5} & +  0.15 x_{23} & -2.60 x_{7} & + 13.53 x_{8} & +  0.83 x_{18} & +  2.97 x_{10} & + 12.90 x_{11} & -6.44 x_{12} & + 10.17 x_{13} & -2.85 x_{14} & +  1.69 x_{29}\\
 x_{31}   &  46.5263404847 & -1.41 x_{28} & -14.10 x_{2} & + 17.78 x_{3} & -0.86 x_{21} & -13.11 x_{5} & +  1.48 x_{23} & -14.13 x_{7} & -30.73 x_{8} & -1.84 x_{18} & + 23.02 x_{10} & +  1.21 x_{11} & -14.87 x_{12} & -11.60 x_{13} & -16.44 x_{14} & -2.30 x_{29}\\
 x_{32}   &  4.8423389315 & +  0.48 x_{28} & + 21.69 x_{2} & +  5.68 x_{3} & +  1.13 x_{21} & -2.61 x_{5} & -0.94 x_{23} & -8.42 x_{7} & + 11.93 x_{8} & +  1.24 x_{18} & +  0.31 x_{10} & -13.80 x_{11} & +  7.24 x_{12} & + 11.26 x_{13} & + 15.70 x_{14} & +  0.58 x_{29}\\
\hline
z    &  -0.708775847005 & +  0.20 x_{28} & -1.04 x_{2} & -2.51 x_{3} & +  0.12 x_{21} & +  7.02 x_{5} & -0.30 x_{23} & +  2.81 x_{7} & +  4.34 x_{8} & +  0.23 x_{18} & -4.65 x_{10} & -5.17 x_{11} & +  8.03 x_{12} & +  6.06 x_{13} & +  4.19 x_{14} & -0.12 x_{29}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.756846216126 & -0.21 x_{28} & -0.34 x_{2} & +  1.47 x_{3} & +  0.03 x_{21} & -3.68 x_{6} & +  0.14 x_{23} & -0.66 x_{7} & -1.46 x_{8} & -0.03 x_{18} & +  5.05 x_{10} & +  0.55 x_{11} & +  1.36 x_{12} & -1.11 x_{13} & +  0.35 x_{14} & -0.26 x_{29}\\
 x_{17}   &  9.60056198505 & +  1.50 x_{28} & +  0.09 x_{2} & -9.78 x_{3} & -0.09 x_{21} & + 25.10 x_{6} & -1.07 x_{23} & -2.64 x_{7} & +  2.83 x_{8} & +  0.63 x_{18} & -38.25 x_{10} & -0.57 x_{11} & -3.55 x_{12} & +  2.23 x_{13} & +  7.26 x_{14} & +  2.22 x_{29}\\
 x_{15}   &  0.9519217031 & +  0.06 x_{28} & +  0.70 x_{2} & -0.51 x_{3} & +  0.06 x_{21} & -0.36 x_{6} & -0.02 x_{23} & +  0.45 x_{7} & +  1.06 x_{8} & +  0.10 x_{18} & +  0.50 x_{10} & +  0.07 x_{11} & +  1.14 x_{12} & +  0.23 x_{13} & +  0.44 x_{14} & +  0.06 x_{29}\\
 x_{19}   &  11.8288803162 & -1.25 x_{28} & -14.41 x_{2} & + 18.50 x_{3} & -0.83 x_{21} & -6.52 x_{6} & +  0.91 x_{23} & -5.14 x_{7} & -28.53 x_{8} & -0.81 x_{18} & + 16.80 x_{10} & +  7.10 x_{11} & -1.51 x_{12} & -13.23 x_{13} & -9.06 x_{14} & -2.06 x_{29}\\
 x_{20}   &  20.9956184217 & -0.63 x_{28} & -16.71 x_{2} & -0.62 x_{3} & -0.38 x_{21} & +  2.95 x_{6} & +  0.03 x_{23} & +  0.70 x_{7} & -3.23 x_{8} & -0.50 x_{18} & + 23.89 x_{10} & -0.39 x_{11} & -5.75 x_{12} & -13.77 x_{13} & +  0.58 x_{14} & -2.07 x_{29}\\
 x_{4}   &  1.07024813069 & -0.07 x_{28} & -0.97 x_{2} & +  0.38 x_{3} & -0.02 x_{21} & -1.32 x_{6} & +  0.08 x_{23} & +  0.47 x_{7} & -1.07 x_{8} & -0.03 x_{18} & +  2.61 x_{10} & +  0.26 x_{11} & +  0.86 x_{12} & -1.13 x_{13} & +  0.02 x_{14} & -0.20 x_{29}\\
 x_{22}   &  34.2275086917 & +  1.69 x_{28} & + 14.57 x_{2} & -18.55 x_{3} & +  0.70 x_{21} & + 17.78 x_{6} & -1.61 x_{23} & -2.70 x_{7} & + 25.89 x_{8} & +  1.57 x_{18} & -19.28 x_{10} & -2.13 x_{11} & +  1.32 x_{12} & +  3.80 x_{13} & +  9.90 x_{14} & +  1.97 x_{29}\\
 x_{16}   &  8.11539743773 & -1.55 x_{28} & -3.57 x_{2} & + 18.46 x_{3} & +  1.12 x_{21} & -29.59 x_{6} & +  0.81 x_{23} & -14.49 x_{7} & -4.85 x_{8} & +  0.10 x_{18} & + 56.65 x_{10} & -12.29 x_{11} & + 16.06 x_{12} & -5.19 x_{13} & + 13.23 x_{14} & -2.24 x_{29}\\
 x_{24}   &  36.5869886174 & +  2.85 x_{28} & + 12.72 x_{2} & -29.89 x_{3} & +  0.09 x_{21} & + 43.09 x_{6} & -1.70 x_{23} & -1.59 x_{7} & + 32.31 x_{8} & +  0.31 x_{18} & -64.13 x_{10} & -3.81 x_{11} & -8.38 x_{12} & + 12.13 x_{13} & +  1.14 x_{14} & +  4.11 x_{29}\\
 x_{25}   &  37.7321045864 & +  2.20 x_{28} & -4.59 x_{2} & -19.81 x_{3} & -0.08 x_{21} & + 30.76 x_{6} & -1.28 x_{23} & +  2.12 x_{7} & + 11.53 x_{8} & -0.02 x_{18} & -42.39 x_{10} & -5.20 x_{11} & -11.14 x_{12} & +  6.96 x_{13} & -7.26 x_{14} & +  2.49 x_{29}\\
 x_{26}   &  26.0600085727 & -0.52 x_{28} & -7.47 x_{2} & + 11.88 x_{3} & -1.01 x_{21} & +  0.36 x_{6} & +  0.53 x_{23} & -9.86 x_{7} & -21.74 x_{8} & -1.08 x_{18} & -13.41 x_{10} & + 12.90 x_{11} & -24.21 x_{12} & -1.54 x_{13} & -8.10 x_{14} & -0.22 x_{29}\\
 x_{27}   &  75.4514216317 & +  0.33 x_{28} & +  2.07 x_{2} & -3.95 x_{3} & -0.07 x_{21} & +  7.28 x_{6} & -0.53 x_{23} & -15.45 x_{7} & -2.42 x_{8} & -0.69 x_{18} & -31.48 x_{10} & -6.52 x_{11} & -3.88 x_{12} & + 13.63 x_{13} & -8.06 x_{14} & +  0.85 x_{29}\\
 x_{9}   &  0.533290470067 & -0.04 x_{28} & +  0.54 x_{2} & +  0.41 x_{3} & +  0.03 x_{21} & -1.29 x_{6} & -0.01 x_{23} & +  0.29 x_{7} & +  0.05 x_{8} & +  0.08 x_{18} & +  1.88 x_{10} & -0.01 x_{11} & +  1.21 x_{12} & +  0.05 x_{13} & +  1.01 x_{14} & -0.06 x_{29}\\
 x_{1}   &  0.365171214935 & +  0.08 x_{28} & -0.10 x_{2} & -0.44 x_{3} & -0.05 x_{21} & +  1.31 x_{6} & -0.02 x_{23} & +  0.51 x_{7} & +  0.38 x_{8} & +  0.03 x_{18} & -2.44 x_{10} & +  0.59 x_{11} & -1.22 x_{12} & +  0.44 x_{13} & -0.05 x_{14} & +  0.18 x_{29}\\
 x_{30}   &  6.19807591561 & +  0.64 x_{28} & + 13.82 x_{2} & -9.84 x_{3} & +  0.28 x_{21} & +  5.93 x_{6} & -0.08 x_{23} & -1.54 x_{7} & + 15.87 x_{8} & +  0.87 x_{18} & -5.17 x_{10} & + 12.02 x_{11} & -8.63 x_{12} & + 11.97 x_{13} & -3.41 x_{14} & +  2.11 x_{29}\\
 x_{31}   &  36.6063723389 & +  1.35 x_{28} & -9.69 x_{2} & -1.54 x_{3} & -1.28 x_{21} & + 48.23 x_{6} & -0.35 x_{23} & -5.51 x_{7} & -11.65 x_{8} & -1.46 x_{18} & -43.13 x_{10} & -5.95 x_{11} & -32.68 x_{12} & +  3.01 x_{13} & -20.97 x_{14} & +  1.12 x_{29}\\
 x_{32}   &  2.86526646664 & +  1.03 x_{28} & + 22.57 x_{2} & +  1.83 x_{3} & +  1.05 x_{21} & +  9.61 x_{6} & -1.30 x_{23} & -6.70 x_{7} & + 15.73 x_{8} & +  1.32 x_{18} & -12.88 x_{10} & -15.23 x_{11} & +  3.69 x_{12} & + 14.18 x_{13} & + 14.80 x_{14} & +  1.27 x_{29}\\
\hline
z    &  4.60199076058 & -1.28 x_{28} & -3.40 x_{2} & +  7.84 x_{3} & +  0.34 x_{21} & -25.82 x_{6} & +  0.68 x_{23} & -1.81 x_{7} & -5.88 x_{8} & +  0.03 x_{18} & + 30.76 x_{10} & -1.34 x_{11} & + 17.57 x_{12} & -1.76 x_{13} & +  6.61 x_{14} & -1.95 x_{29}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{30} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  1.68495545035 & -0.11 x_{28} & +  1.73 x_{2} & -0.15 x_{30} & +  0.07 x_{21} & -2.79 x_{6} & +  0.13 x_{23} & -0.89 x_{7} & +  0.92 x_{8} & +  0.10 x_{18} & +  4.27 x_{10} & +  2.35 x_{11} & +  0.07 x_{12} & +  0.68 x_{13} & -0.17 x_{14} & +  0.05 x_{29}\\
 x_{17}   &  3.44175643932 & +  0.86 x_{28} & -13.64 x_{2} & +  0.99 x_{30} & -0.36 x_{21} & + 19.21 x_{6} & -0.99 x_{23} & -1.11 x_{7} & -12.94 x_{8} & -0.23 x_{18} & -33.12 x_{10} & -12.51 x_{11} & +  5.03 x_{12} & -9.67 x_{13} & + 10.65 x_{14} & +  0.12 x_{29}\\
 x_{15}   &  0.628537179546 & +  0.02 x_{28} & -0.02 x_{2} & +  0.05 x_{30} & +  0.04 x_{21} & -0.67 x_{6} & -0.01 x_{23} & +  0.53 x_{7} & +  0.23 x_{8} & +  0.05 x_{18} & +  0.77 x_{10} & -0.56 x_{11} & +  1.59 x_{12} & -0.39 x_{13} & +  0.62 x_{14} & -0.05 x_{29}\\
 x_{19}   &  23.4805145164 & -0.04 x_{28} & + 11.56 x_{2} & -1.88 x_{30} & -0.31 x_{21} & +  4.63 x_{6} & +  0.76 x_{23} & -8.04 x_{7} & +  1.31 x_{8} & +  0.83 x_{18} & +  7.09 x_{10} & + 29.69 x_{11} & -17.74 x_{12} & +  9.27 x_{13} & -15.48 x_{14} & +  1.91 x_{29}\\
 x_{20}   &  20.6031246447 & -0.67 x_{28} & -17.58 x_{2} & +  0.06 x_{30} & -0.40 x_{21} & +  2.58 x_{6} & +  0.04 x_{23} & +  0.80 x_{7} & -4.23 x_{8} & -0.56 x_{18} & + 24.22 x_{10} & -1.15 x_{11} & -5.20 x_{12} & -14.52 x_{13} & +  0.79 x_{14} & -2.21 x_{29}\\
 x_{4}   &  1.31258784737 & -0.05 x_{28} & -0.43 x_{2} & -0.04 x_{30} & -0.01 x_{21} & -1.09 x_{6} & +  0.08 x_{23} & +  0.41 x_{7} & -0.45 x_{8} & +  0.00 x_{18} & +  2.41 x_{10} & +  0.73 x_{11} & +  0.52 x_{12} & -0.66 x_{13} & -0.11 x_{14} & -0.12 x_{29}\\
 x_{22}   &  22.5486296415 & +  0.48 x_{28} & -11.46 x_{2} & +  1.88 x_{30} & +  0.18 x_{21} & +  6.60 x_{6} & -1.46 x_{23} & +  0.20 x_{7} & -4.03 x_{8} & -0.07 x_{18} & -9.54 x_{10} & -24.77 x_{11} & + 17.58 x_{12} & -18.76 x_{13} & + 16.32 x_{14} & -2.01 x_{29}\\
 x_{16}   &  19.7392170002 & -0.34 x_{28} & + 22.34 x_{2} & -1.88 x_{30} & +  1.64 x_{21} & -18.47 x_{6} & +  0.66 x_{23} & -17.38 x_{7} & + 24.92 x_{8} & +  1.73 x_{18} & + 46.97 x_{10} & + 10.24 x_{11} & -0.13 x_{12} & + 17.26 x_{13} & +  6.83 x_{14} & +  1.72 x_{29}\\
 x_{24}   &  17.7686393667 & +  0.90 x_{28} & -29.23 x_{2} & +  3.04 x_{30} & -0.75 x_{21} & + 25.08 x_{6} & -1.47 x_{23} & +  3.08 x_{7} & -15.89 x_{8} & -2.34 x_{18} & -48.45 x_{10} & -40.30 x_{11} & + 17.83 x_{12} & -24.22 x_{13} & + 11.49 x_{14} & -2.31 x_{29}\\
 x_{25}   &  25.2603209317 & +  0.91 x_{28} & -32.40 x_{2} & +  2.01 x_{30} & -0.63 x_{21} & + 18.82 x_{6} & -1.12 x_{23} & +  5.22 x_{7} & -20.41 x_{8} & -1.77 x_{18} & -31.99 x_{10} & -29.38 x_{11} & +  6.23 x_{12} & -17.13 x_{13} & -0.39 x_{14} & -1.76 x_{29}\\
 x_{26}   &  33.5435106046 & +  0.25 x_{28} & +  9.21 x_{2} & -1.21 x_{30} & -0.67 x_{21} & +  7.52 x_{6} & +  0.44 x_{23} & -11.72 x_{7} & -2.58 x_{8} & -0.03 x_{18} & -19.65 x_{10} & + 27.41 x_{11} & -34.63 x_{12} & + 12.91 x_{13} & -12.22 x_{14} & +  2.33 x_{29}\\
 x_{27}   &  72.961509245 & +  0.07 x_{28} & -3.48 x_{2} & +  0.40 x_{30} & -0.18 x_{21} & +  4.90 x_{6} & -0.50 x_{23} & -14.83 x_{7} & -8.80 x_{8} & -1.04 x_{18} & -29.40 x_{10} & -11.34 x_{11} & -0.41 x_{12} & +  8.82 x_{13} & -6.69 x_{14} & -0.00 x_{29}\\
 x_{9}   &  0.791359326881 & -0.02 x_{28} & +  1.12 x_{2} & -0.04 x_{30} & +  0.04 x_{21} & -1.04 x_{6} & -0.01 x_{23} & +  0.23 x_{7} & +  0.71 x_{8} & +  0.12 x_{18} & +  1.66 x_{10} & +  0.49 x_{11} & +  0.85 x_{12} & +  0.55 x_{13} & +  0.87 x_{14} & +  0.03 x_{29}\\
 x_{1}   &  0.0870248379738 & +  0.05 x_{28} & -0.72 x_{2} & +  0.04 x_{30} & -0.06 x_{21} & +  1.04 x_{6} & -0.02 x_{23} & +  0.58 x_{7} & -0.33 x_{8} & -0.01 x_{18} & -2.21 x_{10} & +  0.05 x_{11} & -0.83 x_{12} & -0.10 x_{13} & +  0.10 x_{14} & +  0.08 x_{29}\\
 x_{3}   &  0.629675415317 & +  0.07 x_{28} & +  1.40 x_{2} & -0.10 x_{30} & +  0.03 x_{21} & +  0.60 x_{6} & -0.01 x_{23} & -0.16 x_{7} & +  1.61 x_{8} & +  0.09 x_{18} & -0.52 x_{10} & +  1.22 x_{11} & -0.88 x_{12} & +  1.22 x_{13} & -0.35 x_{14} & +  0.21 x_{29}\\
 x_{31}   &  35.6358589023 & +  1.25 x_{28} & -11.86 x_{2} & +  0.16 x_{30} & -1.32 x_{21} & + 47.30 x_{6} & -0.34 x_{23} & -5.27 x_{7} & -14.13 x_{8} & -1.60 x_{18} & -42.32 x_{10} & -7.83 x_{11} & -31.33 x_{12} & +  1.13 x_{13} & -20.43 x_{14} & +  0.79 x_{29}\\
 x_{32}   &  4.01926654555 & +  1.15 x_{28} & + 25.14 x_{2} & -0.19 x_{30} & +  1.10 x_{21} & + 10.72 x_{6} & -1.32 x_{23} & -6.99 x_{7} & + 18.69 x_{8} & +  1.48 x_{18} & -13.84 x_{10} & -12.99 x_{11} & +  2.08 x_{12} & + 16.41 x_{13} & + 14.17 x_{14} & +  1.66 x_{29}\\
\hline
z    &  9.53573770016 & -0.77 x_{28} & +  7.60 x_{2} & -0.80 x_{30} & +  0.56 x_{21} & -21.10 x_{6} & +  0.62 x_{23} & -3.03 x_{7} & +  6.76 x_{8} & +  0.73 x_{18} & + 26.65 x_{10} & +  8.23 x_{11} & + 10.70 x_{12} & +  7.77 x_{13} & +  3.90 x_{14} & -0.27 x_{29}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  1.8954538471 & +  0.00 x_{28} & -2.42 x_{1} & -0.04 x_{30} & -0.07 x_{21} & -0.28 x_{6} & +  0.09 x_{23} & +  0.51 x_{7} & +  0.11 x_{8} & +  0.07 x_{18} & -1.08 x_{10} & +  2.46 x_{11} & -1.94 x_{12} & +  0.45 x_{13} & +  0.07 x_{14} & +  0.25 x_{29}\\
 x_{17}   &  1.78486686713 & -0.06 x_{28} & + 19.04 x_{1} & +  0.14 x_{30} & +  0.73 x_{21} & -0.60 x_{6} & -0.70 x_{23} & -12.16 x_{7} & -6.57 x_{8} & +  0.03 x_{18} & +  9.01 x_{10} & -13.42 x_{11} & + 20.81 x_{12} & -7.85 x_{13} & +  8.77 x_{14} & -1.43 x_{29}\\
 x_{15}   &  0.626525612735 & +  0.02 x_{28} & +  0.02 x_{1} & +  0.05 x_{30} & +  0.05 x_{21} & -0.70 x_{6} & -0.01 x_{23} & +  0.51 x_{7} & +  0.23 x_{8} & +  0.05 x_{18} & +  0.82 x_{10} & -0.56 x_{11} & +  1.61 x_{12} & -0.39 x_{13} & +  0.62 x_{14} & -0.05 x_{29}\\
 x_{19}   &  24.884592852 & +  0.74 x_{28} & -16.13 x_{1} & -1.16 x_{30} & -1.23 x_{21} & + 21.41 x_{6} & +  0.51 x_{23} & +  1.32 x_{7} & -4.09 x_{8} & +  0.61 x_{18} & -28.62 x_{10} & + 30.45 x_{11} & -31.11 x_{12} & +  7.73 x_{13} & -13.89 x_{14} & +  3.23 x_{29}\\
 x_{20}   &  18.4677504588 & -1.85 x_{28} & + 24.54 x_{1} & -1.04 x_{30} & +  1.01 x_{21} & -22.94 x_{6} & +  0.42 x_{23} & -13.43 x_{7} & +  3.97 x_{8} & -0.21 x_{18} & + 78.52 x_{10} & -2.31 x_{11} & + 15.13 x_{12} & -12.19 x_{13} & -1.62 x_{14} & -4.22 x_{29}\\
 x_{4}   &  1.26054570043 & -0.08 x_{28} & +  0.60 x_{1} & -0.07 x_{30} & +  0.03 x_{21} & -1.71 x_{6} & +  0.09 x_{23} & +  0.06 x_{7} & -0.25 x_{8} & +  0.01 x_{18} & +  3.73 x_{10} & +  0.70 x_{11} & +  1.02 x_{12} & -0.61 x_{13} & -0.17 x_{14} & -0.17 x_{29}\\
 x_{22}   &  21.1566174745 & -0.29 x_{28} & + 16.00 x_{1} & +  1.17 x_{30} & +  1.10 x_{21} & -10.04 x_{6} & -1.21 x_{23} & -9.08 x_{7} & +  1.32 x_{8} & +  0.15 x_{18} & + 25.85 x_{10} & -25.53 x_{11} & + 30.84 x_{12} & -17.24 x_{13} & + 14.75 x_{14} & -3.32 x_{29}\\
 x_{16}   &  22.4525048835 & +  1.17 x_{28} & -31.18 x_{1} & -0.48 x_{30} & -0.16 x_{21} & + 13.96 x_{6} & +  0.17 x_{23} & +  0.71 x_{7} & + 14.49 x_{8} & +  1.29 x_{18} & -22.03 x_{10} & + 11.72 x_{11} & -25.96 x_{12} & + 14.29 x_{13} & +  9.90 x_{14} & +  4.27 x_{29}\\
 x_{24}   &  14.2182193911 & -1.07 x_{28} & + 40.80 x_{1} & +  1.21 x_{30} & +  1.60 x_{21} & -17.35 x_{6} & -0.83 x_{23} & -20.58 x_{7} & -2.24 x_{8} & -1.77 x_{18} & + 41.83 x_{10} & -42.23 x_{11} & + 51.64 x_{12} & -20.33 x_{13} & +  7.47 x_{14} & -5.65 x_{29}\\
 x_{25}   &  21.3253301098 & -1.28 x_{28} & + 45.22 x_{1} & -0.02 x_{30} & +  1.96 x_{21} & -28.21 x_{6} & -0.41 x_{23} & -21.01 x_{7} & -5.29 x_{8} & -1.14 x_{18} & + 68.07 x_{10} & -31.52 x_{11} & + 43.70 x_{12} & -12.82 x_{13} & -4.84 x_{14} & -5.46 x_{29}\\
 x_{26}   &  34.6618521264 & +  0.87 x_{28} & -12.85 x_{1} & -0.63 x_{30} & -1.41 x_{21} & + 20.89 x_{6} & +  0.24 x_{23} & -4.26 x_{7} & -6.88 x_{8} & -0.21 x_{18} & -48.08 x_{10} & + 28.02 x_{11} & -45.28 x_{12} & + 11.69 x_{13} & -10.96 x_{14} & +  3.38 x_{29}\\
 x_{27}   &  72.5393557014 & -0.16 x_{28} & +  4.85 x_{1} & +  0.18 x_{30} & +  0.10 x_{21} & -0.15 x_{6} & -0.42 x_{23} & -17.64 x_{7} & -7.18 x_{8} & -0.98 x_{18} & -18.67 x_{10} & -11.57 x_{11} & +  3.61 x_{12} & +  9.28 x_{13} & -7.17 x_{14} & -0.40 x_{29}\\
 x_{9}   &  0.926985005985 & +  0.06 x_{28} & -1.56 x_{1} & +  0.03 x_{30} & -0.05 x_{21} & +  0.58 x_{6} & -0.03 x_{23} & +  1.13 x_{7} & +  0.19 x_{8} & +  0.10 x_{18} & -1.79 x_{10} & +  0.57 x_{11} & -0.44 x_{12} & +  0.40 x_{13} & +  1.03 x_{14} & +  0.16 x_{29}\\
 x_{2}   &  0.121466546683 & +  0.07 x_{28} & -1.40 x_{1} & +  0.06 x_{30} & -0.08 x_{21} & +  1.45 x_{6} & -0.02 x_{23} & +  0.81 x_{7} & -0.47 x_{8} & -0.02 x_{18} & -3.09 x_{10} & +  0.07 x_{11} & -1.16 x_{12} & -0.13 x_{13} & +  0.14 x_{14} & +  0.11 x_{29}\\
 x_{3}   &  0.800171533826 & +  0.16 x_{28} & -1.96 x_{1} & -0.01 x_{30} & -0.08 x_{21} & +  2.64 x_{6} & -0.04 x_{23} & +  0.98 x_{7} & +  0.96 x_{8} & +  0.06 x_{18} & -4.86 x_{10} & +  1.31 x_{11} & -2.50 x_{12} & +  1.03 x_{13} & -0.15 x_{14} & +  0.37 x_{29}\\
 x_{31}   &  34.1955485621 & +  0.45 x_{28} & + 16.55 x_{1} & -0.59 x_{30} & -0.37 x_{21} & + 30.08 x_{6} & -0.08 x_{23} & -14.87 x_{7} & -8.60 x_{8} & -1.37 x_{18} & -5.69 x_{10} & -8.61 x_{11} & -17.61 x_{12} & +  2.71 x_{13} & -22.06 x_{14} & -0.56 x_{29}\\
 x_{32}   &  7.0733644773 & +  2.84 x_{28} & -35.09 x_{1} & +  1.39 x_{30} & -0.92 x_{21} & + 47.22 x_{6} & -1.87 x_{23} & + 13.37 x_{7} & +  6.95 x_{8} & +  0.99 x_{18} & -91.50 x_{10} & -11.33 x_{11} & -27.00 x_{12} & + 13.06 x_{13} & + 17.62 x_{14} & +  4.53 x_{29}\\
\hline
z    &  10.4587449329 & -0.25 x_{28} & -10.61 x_{1} & -0.32 x_{30} & -0.05 x_{21} & -10.06 x_{6} & +  0.45 x_{23} & +  3.12 x_{7} & +  3.21 x_{8} & +  0.58 x_{18} & +  3.18 x_{10} & +  8.73 x_{11} & +  1.91 x_{12} & +  6.76 x_{13} & +  4.94 x_{14} & +  0.60 x_{29}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  1.97104582727 & -0.00 x_{28} & -1.61 x_{1} & -0.04 x_{30} & -0.03 x_{21} & -0.30 x_{6} & +  0.06 x_{23} & -0.04 x_{17} & -0.17 x_{8} & +  0.07 x_{18} & -0.70 x_{10} & +  1.89 x_{11} & -1.06 x_{12} & +  0.12 x_{13} & +  0.44 x_{14} & +  0.19 x_{29}\\
 x_{7}   &  0.146811849746 & -0.01 x_{28} & +  1.57 x_{1} & +  0.01 x_{30} & +  0.06 x_{21} & -0.05 x_{6} & -0.06 x_{23} & -0.08 x_{17} & -0.54 x_{8} & +  0.00 x_{18} & +  0.74 x_{10} & -1.10 x_{11} & +  1.71 x_{12} & -0.65 x_{13} & +  0.72 x_{14} & -0.12 x_{29}\\
 x_{15}   &  0.701736622667 & +  0.02 x_{28} & +  0.83 x_{1} & +  0.06 x_{30} & +  0.08 x_{21} & -0.72 x_{6} & -0.04 x_{23} & -0.04 x_{17} & -0.04 x_{8} & +  0.05 x_{18} & +  1.20 x_{10} & -1.13 x_{11} & +  2.48 x_{12} & -0.72 x_{13} & +  0.98 x_{14} & -0.11 x_{29}\\
 x_{19}   &  25.078731764 & +  0.73 x_{28} & -14.06 x_{1} & -1.14 x_{30} & -1.16 x_{21} & + 21.34 x_{6} & +  0.43 x_{23} & -0.11 x_{17} & -4.81 x_{8} & +  0.61 x_{18} & -27.64 x_{10} & + 28.99 x_{11} & -28.85 x_{12} & +  6.88 x_{13} & -12.93 x_{14} & +  3.08 x_{29}\\
 x_{20}   &  16.4954095519 & -1.78 x_{28} & +  3.50 x_{1} & -1.19 x_{30} & +  0.20 x_{21} & -22.28 x_{6} & +  1.19 x_{23} & +  1.11 x_{17} & + 11.24 x_{8} & -0.25 x_{18} & + 68.56 x_{10} & + 12.51 x_{11} & -7.87 x_{12} & -3.51 x_{13} & -11.31 x_{14} & -2.63 x_{29}\\
 x_{4}   &  1.26987538139 & -0.08 x_{28} & +  0.70 x_{1} & -0.07 x_{30} & +  0.03 x_{21} & -1.71 x_{6} & +  0.08 x_{23} & -0.01 x_{17} & -0.28 x_{8} & +  0.01 x_{18} & +  3.78 x_{10} & +  0.63 x_{11} & +  1.13 x_{12} & -0.65 x_{13} & -0.12 x_{14} & -0.18 x_{29}\\
 x_{22}   &  19.8235019888 & -0.25 x_{28} & +  1.78 x_{1} & +  1.06 x_{30} & +  0.55 x_{21} & -9.59 x_{6} & -0.69 x_{23} & +  0.75 x_{17} & +  6.23 x_{8} & +  0.13 x_{18} & + 19.12 x_{10} & -15.51 x_{11} & + 15.30 x_{12} & -11.37 x_{13} & +  8.20 x_{14} & -2.25 x_{29}\\
 x_{16}   &  22.556240575 & +  1.16 x_{28} & -30.07 x_{1} & -0.47 x_{30} & -0.11 x_{21} & + 13.93 x_{6} & +  0.13 x_{23} & -0.06 x_{17} & + 14.11 x_{8} & +  1.30 x_{18} & -21.51 x_{10} & + 10.94 x_{11} & -24.75 x_{12} & + 13.84 x_{13} & + 10.41 x_{14} & +  4.19 x_{29}\\
 x_{24}   &  11.1966341574 & -0.96 x_{28} & +  8.57 x_{1} & +  0.97 x_{30} & +  0.36 x_{21} & -16.34 x_{6} & +  0.35 x_{23} & +  1.69 x_{17} & +  8.89 x_{8} & -1.82 x_{18} & + 26.57 x_{10} & -19.52 x_{11} & + 16.41 x_{12} & -7.04 x_{13} & -7.37 x_{14} & -3.22 x_{29}\\
 x_{25}   &  18.2410573022 & -1.17 x_{28} & + 12.32 x_{1} & -0.26 x_{30} & +  0.70 x_{21} & -27.18 x_{6} & +  0.79 x_{23} & +  1.73 x_{17} & +  6.07 x_{8} & -1.20 x_{18} & + 52.49 x_{10} & -8.34 x_{11} & +  7.74 x_{12} & +  0.75 x_{13} & -20.00 x_{14} & -2.98 x_{29}\\
 x_{26}   &  34.0357846784 & +  0.90 x_{28} & -19.53 x_{1} & -0.68 x_{30} & -1.67 x_{21} & + 21.10 x_{6} & +  0.48 x_{23} & +  0.35 x_{17} & -4.57 x_{8} & -0.22 x_{18} & -51.25 x_{10} & + 32.72 x_{11} & -52.58 x_{12} & + 14.44 x_{13} & -14.03 x_{14} & +  3.88 x_{29}\\
 x_{27}   &  69.9492173998 & -0.07 x_{28} & -22.78 x_{1} & -0.02 x_{30} & -0.96 x_{21} & +  0.72 x_{6} & +  0.59 x_{23} & +  1.45 x_{17} & +  2.36 x_{8} & -1.02 x_{18} & -31.75 x_{10} & +  7.90 x_{11} & -26.59 x_{12} & + 20.68 x_{13} & -19.89 x_{14} & +  1.68 x_{29}\\
 x_{9}   &  1.09358053841 & +  0.05 x_{28} & +  0.22 x_{1} & +  0.04 x_{30} & +  0.02 x_{21} & +  0.52 x_{6} & -0.10 x_{23} & -0.09 x_{17} & -0.42 x_{8} & +  0.10 x_{18} & -0.94 x_{10} & -0.69 x_{11} & +  1.50 x_{12} & -0.33 x_{13} & +  1.84 x_{14} & +  0.03 x_{29}\\
 x_{2}   &  0.240326285587 & +  0.06 x_{28} & -0.13 x_{1} & +  0.07 x_{30} & -0.03 x_{21} & +  1.41 x_{6} & -0.07 x_{23} & -0.07 x_{17} & -0.90 x_{8} & -0.02 x_{18} & -2.49 x_{10} & -0.83 x_{11} & +  0.23 x_{12} & -0.66 x_{13} & +  0.72 x_{14} & +  0.02 x_{29}\\
 x_{3}   &  0.944038486135 & +  0.15 x_{28} & -0.42 x_{1} & -0.00 x_{30} & -0.03 x_{21} & +  2.59 x_{6} & -0.09 x_{23} & -0.08 x_{17} & +  0.43 x_{8} & +  0.06 x_{18} & -4.13 x_{10} & +  0.23 x_{11} & -0.82 x_{12} & +  0.40 x_{13} & +  0.55 x_{14} & +  0.26 x_{29}\\
 x_{31}   &  32.0128602815 & +  0.52 x_{28} & -6.73 x_{1} & -0.76 x_{30} & -1.27 x_{21} & + 30.81 x_{6} & +  0.77 x_{23} & +  1.22 x_{17} & -0.56 x_{8} & -1.41 x_{18} & -16.72 x_{10} & +  7.79 x_{11} & -43.06 x_{12} & + 12.31 x_{13} & -32.79 x_{14} & +  1.19 x_{29}\\
 x_{32}   &  9.03618782071 & +  2.77 x_{28} & -14.16 x_{1} & +  1.54 x_{30} & -0.11 x_{21} & + 46.56 x_{6} & -2.63 x_{23} & -1.10 x_{17} & -0.28 x_{8} & +  1.03 x_{18} & -81.59 x_{10} & -26.08 x_{11} & -4.11 x_{12} & +  4.43 x_{13} & + 27.27 x_{14} & +  2.95 x_{29}\\
\hline
z    &  10.9165948125 & -0.27 x_{28} & -5.72 x_{1} & -0.28 x_{30} & +  0.14 x_{21} & -10.22 x_{6} & +  0.27 x_{23} & -0.26 x_{17} & +  1.53 x_{8} & +  0.59 x_{18} & +  5.49 x_{10} & +  5.29 x_{11} & +  7.25 x_{12} & +  4.75 x_{13} & +  7.19 x_{14} & +  0.23 x_{29}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  1.9268652961 & -0.01 x_{28} & -1.59 x_{1} & -0.05 x_{30} & -0.03 x_{21} & -0.56 x_{6} & +  0.07 x_{23} & -0.03 x_{17} & +  0.18 x_{2} & +  0.07 x_{18} & -0.24 x_{10} & +  2.04 x_{11} & -1.10 x_{12} & +  0.24 x_{13} & +  0.31 x_{14} & +  0.19 x_{29}\\
 x_{7}   &  0.00315983923092 & -0.04 x_{28} & +  1.64 x_{1} & -0.03 x_{30} & +  0.08 x_{21} & -0.89 x_{6} & -0.02 x_{23} & -0.04 x_{17} & +  0.60 x_{2} & +  0.01 x_{18} & +  2.23 x_{10} & -0.61 x_{11} & +  1.57 x_{12} & -0.25 x_{13} & +  0.29 x_{14} & -0.13 x_{29}\\
 x_{15}   &  0.690452581764 & +  0.02 x_{28} & +  0.83 x_{1} & +  0.05 x_{30} & +  0.08 x_{21} & -0.79 x_{6} & -0.04 x_{23} & -0.04 x_{17} & +  0.05 x_{2} & +  0.05 x_{18} & +  1.32 x_{10} & -1.09 x_{11} & +  2.47 x_{12} & -0.69 x_{13} & +  0.95 x_{14} & -0.11 x_{29}\\
 x_{19}   &  23.8021049936 & +  0.39 x_{28} & -13.38 x_{1} & -1.52 x_{30} & -0.99 x_{21} & + 13.84 x_{6} & +  0.80 x_{23} & +  0.24 x_{17} & +  5.31 x_{2} & +  0.70 x_{18} & -14.42 x_{10} & + 33.39 x_{11} & -30.07 x_{12} & + 10.36 x_{13} & -16.77 x_{14} & +  2.98 x_{29}\\
 x_{20}   &  19.4809309697 & -1.00 x_{28} & +  1.91 x_{1} & -0.30 x_{30} & -0.19 x_{21} & -4.74 x_{6} & +  0.34 x_{23} & +  0.28 x_{17} & -12.42 x_{2} & -0.47 x_{18} & + 37.64 x_{10} & +  2.23 x_{11} & -5.02 x_{12} & -11.66 x_{13} & -2.35 x_{14} & -2.40 x_{29}\\
 x_{4}   &  1.19490649206 & -0.10 x_{28} & +  0.74 x_{1} & -0.09 x_{30} & +  0.04 x_{21} & -2.15 x_{6} & +  0.11 x_{23} & +  0.02 x_{17} & +  0.31 x_{2} & +  0.02 x_{18} & +  4.55 x_{10} & +  0.89 x_{11} & +  1.05 x_{12} & -0.44 x_{13} & -0.35 x_{14} & -0.18 x_{29}\\
 x_{22}   &  21.4799111567 & +  0.19 x_{28} & +  0.89 x_{1} & +  1.56 x_{30} & +  0.34 x_{21} & +  0.14 x_{6} & -1.16 x_{23} & +  0.29 x_{17} & -6.89 x_{2} & +  0.01 x_{18} & +  1.97 x_{10} & -21.21 x_{11} & + 16.88 x_{12} & -15.89 x_{13} & + 13.17 x_{14} & -2.12 x_{29}\\
 x_{16}   &  26.3055518328 & +  2.15 x_{28} & -32.07 x_{1} & +  0.65 x_{30} & -0.60 x_{21} & + 35.96 x_{6} & -0.93 x_{23} & -1.10 x_{17} & -15.60 x_{2} & +  1.03 x_{18} & -60.33 x_{10} & -1.97 x_{11} & -21.18 x_{12} & +  3.60 x_{13} & + 21.67 x_{14} & +  4.48 x_{29}\\
 x_{24}   &  13.5579343006 & -0.34 x_{28} & +  7.31 x_{1} & +  1.68 x_{30} & +  0.05 x_{21} & -2.47 x_{6} & -0.32 x_{23} & +  1.04 x_{17} & -9.83 x_{2} & -1.99 x_{18} & +  2.12 x_{10} & -27.65 x_{11} & + 18.66 x_{12} & -13.49 x_{13} & -0.28 x_{14} & -3.03 x_{29}\\
 x_{25}   &  19.8547926224 & -0.75 x_{28} & + 11.46 x_{1} & +  0.23 x_{30} & +  0.49 x_{21} & -17.69 x_{6} & +  0.33 x_{23} & +  1.28 x_{17} & -6.71 x_{2} & -1.31 x_{18} & + 35.78 x_{10} & -13.90 x_{11} & +  9.28 x_{12} & -3.65 x_{13} & -15.16 x_{14} & -2.85 x_{29}\\
 x_{26}   &  32.821707265 & +  0.58 x_{28} & -18.88 x_{1} & -1.04 x_{30} & -1.51 x_{21} & + 13.96 x_{6} & +  0.83 x_{23} & +  0.69 x_{17} & +  5.05 x_{2} & -0.14 x_{18} & -38.67 x_{10} & + 36.90 x_{11} & -53.74 x_{12} & + 17.75 x_{13} & -17.68 x_{14} & +  3.79 x_{29}\\
 x_{27}   &  70.5770133862 & +  0.09 x_{28} & -23.11 x_{1} & +  0.17 x_{30} & -1.04 x_{21} & +  4.41 x_{6} & +  0.41 x_{23} & +  1.28 x_{17} & -2.61 x_{2} & -1.07 x_{18} & -38.25 x_{10} & +  5.73 x_{11} & -25.99 x_{12} & + 18.96 x_{13} & -18.01 x_{14} & +  1.73 x_{29}\\
 x_{9}   &  0.980851217673 & +  0.02 x_{28} & +  0.28 x_{1} & +  0.01 x_{30} & +  0.04 x_{21} & -0.14 x_{6} & -0.07 x_{23} & -0.06 x_{17} & +  0.47 x_{2} & +  0.11 x_{18} & +  0.22 x_{10} & -0.30 x_{11} & +  1.39 x_{12} & -0.02 x_{13} & +  1.51 x_{14} & +  0.02 x_{29}\\
 x_{8}   &  0.265672276022 & +  0.07 x_{28} & -0.14 x_{1} & +  0.08 x_{30} & -0.03 x_{21} & +  1.56 x_{6} & -0.08 x_{23} & -0.07 x_{17} & -1.11 x_{2} & -0.02 x_{18} & -2.75 x_{10} & -0.91 x_{11} & +  0.25 x_{12} & -0.72 x_{13} & +  0.80 x_{14} & +  0.02 x_{29}\\
 x_{3}   &  1.05761460155 & +  0.18 x_{28} & -0.48 x_{1} & +  0.03 x_{30} & -0.04 x_{21} & +  3.26 x_{6} & -0.13 x_{23} & -0.11 x_{17} & -0.47 x_{2} & +  0.06 x_{18} & -5.31 x_{10} & -0.16 x_{11} & -0.71 x_{12} & +  0.09 x_{13} & +  0.89 x_{14} & +  0.27 x_{29}\\
 x_{31}   &  31.8642041321 & +  0.48 x_{28} & -6.65 x_{1} & -0.80 x_{30} & -1.25 x_{21} & + 29.94 x_{6} & +  0.81 x_{23} & +  1.26 x_{17} & +  0.62 x_{2} & -1.40 x_{18} & -15.18 x_{10} & +  8.30 x_{11} & -43.21 x_{12} & + 12.72 x_{13} & -33.24 x_{14} & +  1.18 x_{29}\\
 x_{32}   &  8.96158023586 & +  2.75 x_{28} & -14.12 x_{1} & +  1.52 x_{30} & -0.10 x_{21} & + 46.12 x_{6} & -2.61 x_{23} & -1.08 x_{17} & +  0.31 x_{2} & +  1.03 x_{18} & -80.81 x_{10} & -25.83 x_{11} & -4.18 x_{12} & +  4.63 x_{13} & + 27.04 x_{14} & +  2.95 x_{29}\\
\hline
z    &  11.3218111192 & -0.16 x_{28} & -5.94 x_{1} & -0.16 x_{30} & +  0.09 x_{21} & -7.84 x_{6} & +  0.16 x_{23} & -0.37 x_{17} & -1.69 x_{2} & +  0.56 x_{18} & +  1.30 x_{10} & +  3.89 x_{11} & +  7.63 x_{12} & +  3.64 x_{13} & +  8.41 x_{14} & +  0.26 x_{29}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  1.9036528472 & -0.02 x_{28} & -1.58 x_{1} & -0.06 x_{30} & -0.03 x_{21} & -0.70 x_{6} & +  0.08 x_{23} & -0.02 x_{17} & +  0.28 x_{2} & +  0.07 x_{18} & +  0.09 x_{8} & +  2.12 x_{11} & -1.12 x_{12} & +  0.30 x_{13} & +  0.24 x_{14} & +  0.19 x_{29}\\
 x_{7}   &  0.218417948919 & +  0.01 x_{28} & +  1.53 x_{1} & +  0.03 x_{30} & +  0.05 x_{21} & +  0.37 x_{6} & -0.08 x_{23} & -0.10 x_{17} & -0.30 x_{2} & -0.00 x_{18} & -0.81 x_{8} & -1.35 x_{11} & +  1.78 x_{12} & -0.84 x_{13} & +  0.94 x_{14} & -0.11 x_{29}\\
 x_{15}   &  0.817815586682 & +  0.05 x_{28} & +  0.76 x_{1} & +  0.09 x_{30} & +  0.06 x_{21} & -0.04 x_{6} & -0.07 x_{23} & -0.07 x_{17} & -0.48 x_{2} & +  0.04 x_{18} & -0.48 x_{8} & -1.53 x_{11} & +  2.59 x_{12} & -1.04 x_{13} & +  1.33 x_{14} & -0.10 x_{29}\\
 x_{19}   &  22.409715534 & +  0.03 x_{28} & -12.64 x_{1} & -1.94 x_{30} & -0.81 x_{21} & +  5.66 x_{6} & +  1.19 x_{23} & +  0.63 x_{17} & + 11.11 x_{2} & +  0.80 x_{18} & +  5.24 x_{8} & + 38.18 x_{11} & -31.40 x_{12} & + 14.16 x_{13} & -20.95 x_{14} & +  2.87 x_{29}\\
 x_{20}   &  23.1163272099 & -0.04 x_{28} & -0.02 x_{1} & +  0.79 x_{30} & -0.66 x_{21} & + 16.62 x_{6} & -0.69 x_{23} & -0.73 x_{17} & -27.55 x_{2} & -0.73 x_{18} & -13.68 x_{8} & -10.28 x_{11} & -1.55 x_{12} & -21.58 x_{13} & +  8.56 x_{14} & -2.11 x_{29}\\
 x_{4}   &  1.63465735311 & +  0.02 x_{28} & +  0.50 x_{1} & +  0.04 x_{30} & -0.02 x_{21} & +  0.43 x_{6} & -0.02 x_{23} & -0.11 x_{17} & -1.52 x_{2} & -0.01 x_{18} & -1.66 x_{8} & -0.63 x_{11} & +  1.47 x_{12} & -1.64 x_{13} & +  0.97 x_{14} & -0.15 x_{29}\\
 x_{22}   &  21.6702457119 & +  0.24 x_{28} & +  0.79 x_{1} & +  1.62 x_{30} & +  0.31 x_{21} & +  1.26 x_{6} & -1.22 x_{23} & +  0.24 x_{17} & -7.68 x_{2} & -0.01 x_{18} & -0.72 x_{8} & -21.86 x_{11} & + 17.06 x_{12} & -16.41 x_{13} & + 13.74 x_{14} & -2.10 x_{29}\\
 x_{16}   &  20.4793208014 & +  0.62 x_{28} & -28.97 x_{1} & -1.09 x_{30} & +  0.16 x_{21} & +  1.72 x_{6} & +  0.72 x_{23} & +  0.52 x_{17} & +  8.64 x_{2} & +  1.45 x_{18} & + 21.93 x_{8} & + 18.09 x_{11} & -26.73 x_{12} & + 19.50 x_{13} & +  4.18 x_{14} & +  4.03 x_{29}\\
 x_{24}   &  13.7627829115 & -0.29 x_{28} & +  7.20 x_{1} & +  1.74 x_{30} & +  0.02 x_{21} & -1.27 x_{6} & -0.38 x_{23} & +  0.98 x_{17} & -10.68 x_{2} & -2.01 x_{18} & -0.77 x_{8} & -28.35 x_{11} & + 18.86 x_{12} & -14.05 x_{13} & +  0.33 x_{14} & -3.02 x_{29}\\
 x_{25}   &  23.3104002664 & +  0.16 x_{28} & +  9.62 x_{1} & +  1.26 x_{30} & +  0.04 x_{21} & +  2.61 x_{6} & -0.65 x_{23} & +  0.32 x_{17} & -21.09 x_{2} & -1.56 x_{18} & -13.01 x_{8} & -25.79 x_{11} & + 12.57 x_{12} & -13.08 x_{13} & -4.78 x_{14} & -2.59 x_{29}\\
 x_{26}   &  29.0866553253 & -0.41 x_{28} & -16.90 x_{1} & -2.16 x_{30} & -1.02 x_{21} & -7.98 x_{6} & +  1.89 x_{23} & +  1.72 x_{17} & + 20.59 x_{2} & +  0.13 x_{18} & + 14.06 x_{8} & + 49.76 x_{11} & -57.30 x_{12} & + 27.95 x_{13} & -28.89 x_{14} & +  3.50 x_{29}\\
 x_{27}   &  66.8829472522 & -0.88 x_{28} & -21.15 x_{1} & -0.94 x_{30} & -0.56 x_{21} & -17.30 x_{6} & +  1.46 x_{23} & +  2.30 x_{17} & + 12.76 x_{2} & -0.80 x_{18} & + 13.90 x_{8} & + 18.45 x_{11} & -29.52 x_{12} & + 29.04 x_{13} & -29.10 x_{14} & +  1.44 x_{29}\\
 x_{9}   &  1.00235580791 & +  0.03 x_{28} & +  0.27 x_{1} & +  0.01 x_{30} & +  0.03 x_{21} & -0.01 x_{6} & -0.07 x_{23} & -0.07 x_{17} & +  0.38 x_{2} & +  0.11 x_{18} & -0.08 x_{8} & -0.37 x_{11} & +  1.41 x_{12} & -0.08 x_{13} & +  1.57 x_{14} & +  0.02 x_{29}\\
 x_{10}   &  0.0965769074125 & +  0.03 x_{28} & -0.05 x_{1} & +  0.03 x_{30} & -0.01 x_{21} & +  0.57 x_{6} & -0.03 x_{23} & -0.03 x_{17} & -0.40 x_{2} & -0.01 x_{18} & -0.36 x_{8} & -0.33 x_{11} & +  0.09 x_{12} & -0.26 x_{13} & +  0.29 x_{14} & +  0.01 x_{29}\\
 x_{3}   &  0.54481961668 & +  0.05 x_{28} & -0.21 x_{1} & -0.12 x_{30} & +  0.03 x_{21} & +  0.25 x_{6} & +  0.02 x_{23} & +  0.03 x_{17} & +  1.66 x_{2} & +  0.09 x_{18} & +  1.93 x_{8} & +  1.61 x_{11} & -1.20 x_{12} & +  1.49 x_{13} & -0.65 x_{14} & +  0.23 x_{29}\\
 x_{31}   &  30.3984273668 & +  0.10 x_{28} & -5.87 x_{1} & -1.24 x_{30} & -1.05 x_{21} & + 21.33 x_{6} & +  1.23 x_{23} & +  1.67 x_{17} & +  6.72 x_{2} & -1.29 x_{18} & +  5.52 x_{8} & + 13.35 x_{11} & -44.60 x_{12} & + 16.72 x_{13} & -37.64 x_{14} & +  1.07 x_{29}\\
 x_{32}   &  1.15672830549 & +  0.70 x_{28} & -9.96 x_{1} & -0.82 x_{30} & +  0.92 x_{21} & +  0.27 x_{6} & -0.40 x_{23} & +  1.08 x_{17} & + 32.79 x_{2} & +  1.59 x_{18} & + 29.38 x_{8} & +  1.04 x_{11} & -11.63 x_{12} & + 25.93 x_{13} & +  3.61 x_{14} & +  2.34 x_{29}\\
\hline
z    &  11.4470499608 & -0.13 x_{28} & -6.00 x_{1} & -0.13 x_{30} & +  0.07 x_{21} & -7.10 x_{6} & +  0.12 x_{23} & -0.40 x_{17} & -2.21 x_{2} & +  0.55 x_{18} & -0.47 x_{8} & +  3.46 x_{11} & +  7.75 x_{12} & +  3.30 x_{13} & +  8.78 x_{14} & +  0.27 x_{29}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.24730092273 & +  0.00 x_{28} & +  0.83 x_{1} & -0.00 x_{30} & +  0.05 x_{21} & -0.11 x_{6} & -0.04 x_{23} & -0.18 x_{17} & -0.19 x_{2} & +  0.07 x_{18} & -1.19 x_{8} & -1.57 x_{7} & +  1.68 x_{12} & -1.02 x_{13} & +  1.72 x_{14} & +  0.01 x_{29}\\
 x_{11}   &  0.161797549641 & +  0.01 x_{28} & +  1.13 x_{1} & +  0.02 x_{30} & +  0.04 x_{21} & +  0.28 x_{6} & -0.06 x_{23} & -0.08 x_{17} & -0.22 x_{2} & -0.00 x_{18} & -0.60 x_{8} & -0.74 x_{7} & +  1.32 x_{12} & -0.62 x_{13} & +  0.69 x_{14} & -0.08 x_{29}\\
 x_{15}   &  0.570942901196 & +  0.04 x_{28} & -0.96 x_{1} & +  0.05 x_{30} & +  0.00 x_{21} & -0.46 x_{6} & +  0.01 x_{23} & +  0.04 x_{17} & -0.15 x_{2} & +  0.05 x_{18} & +  0.44 x_{8} & +  1.13 x_{7} & +  0.58 x_{12} & -0.08 x_{13} & +  0.27 x_{14} & +  0.02 x_{29}\\
 x_{19}   &  28.5870342844 & +  0.41 x_{28} & + 30.57 x_{1} & -1.01 x_{30} & +  0.63 x_{21} & + 16.17 x_{6} & -1.00 x_{23} & -2.26 x_{17} & +  2.68 x_{2} & +  0.73 x_{18} & -17.67 x_{8} & -28.28 x_{7} & + 18.95 x_{12} & -9.63 x_{13} & +  5.54 x_{14} & -0.31 x_{29}\\
 x_{20}   &  21.4531897089 & -0.14 x_{28} & -11.66 x_{1} & +  0.54 x_{30} & -1.05 x_{21} & + 13.79 x_{6} & -0.10 x_{23} & +  0.05 x_{17} & -25.28 x_{2} & -0.71 x_{18} & -7.51 x_{8} & +  7.61 x_{7} & -15.11 x_{12} & -15.17 x_{13} & +  1.43 x_{14} & -1.26 x_{29}\\
 x_{4}   &  1.53325856917 & +  0.01 x_{28} & -0.21 x_{1} & +  0.03 x_{30} & -0.04 x_{21} & +  0.26 x_{6} & +  0.02 x_{23} & -0.06 x_{17} & -1.38 x_{2} & -0.01 x_{18} & -1.28 x_{8} & +  0.46 x_{7} & +  0.65 x_{12} & -1.25 x_{13} & +  0.54 x_{14} & -0.10 x_{29}\\
 x_{22}   &  18.1327820633 & +  0.02 x_{28} & -23.95 x_{1} & +  1.08 x_{30} & -0.51 x_{21} & -4.76 x_{6} & +  0.04 x_{23} & +  1.89 x_{17} & -2.86 x_{2} & +  0.03 x_{18} & + 12.41 x_{8} & + 16.20 x_{7} & -11.77 x_{12} & -2.79 x_{13} & -1.42 x_{14} & -0.28 x_{29}\\
 x_{16}   &  23.4058858014 & +  0.80 x_{28} & -8.49 x_{1} & -0.65 x_{30} & +  0.84 x_{21} & +  6.70 x_{6} & -0.32 x_{23} & -0.85 x_{17} & +  4.65 x_{2} & +  1.41 x_{18} & + 11.07 x_{8} & -13.40 x_{7} & -2.88 x_{12} & +  8.23 x_{13} & + 16.73 x_{14} & +  2.52 x_{29}\\
 x_{24}   &  9.17576018792 & -0.57 x_{28} & -24.89 x_{1} & +  1.05 x_{30} & -1.04 x_{21} & -9.07 x_{6} & +  1.25 x_{23} & +  3.13 x_{17} & -4.42 x_{2} & -1.96 x_{18} & + 16.24 x_{8} & + 21.00 x_{7} & -18.52 x_{12} & +  3.62 x_{13} & -19.33 x_{14} & -0.66 x_{29}\\
 x_{25}   &  19.1375407139 & -0.10 x_{28} & -19.57 x_{1} & +  0.63 x_{30} & -0.93 x_{21} & -4.49 x_{6} & +  0.83 x_{23} & +  2.27 x_{17} & -15.40 x_{2} & -1.51 x_{18} & +  2.47 x_{8} & + 19.10 x_{7} & -21.43 x_{12} & +  2.99 x_{13} & -22.67 x_{14} & -0.44 x_{29}\\
 x_{26}   &  37.137647701 & +  0.09 x_{28} & + 39.43 x_{1} & -0.95 x_{30} & +  0.85 x_{21} & +  5.72 x_{6} & -0.97 x_{23} & -2.04 x_{17} & +  9.61 x_{2} & +  0.04 x_{18} & -15.81 x_{8} & -36.86 x_{7} & +  8.31 x_{12} & -3.06 x_{13} & +  5.62 x_{14} & -0.65 x_{29}\\
 x_{27}   &  69.8682018208 & -0.69 x_{28} & -0.26 x_{1} & -0.49 x_{30} & +  0.14 x_{21} & -12.22 x_{6} & +  0.40 x_{23} & +  0.91 x_{17} & +  8.69 x_{2} & -0.84 x_{18} & +  2.83 x_{8} & -13.67 x_{7} & -5.19 x_{12} & + 17.55 x_{13} & -16.30 x_{14} & -0.09 x_{29}\\
 x_{9}   &  0.942312725412 & +  0.02 x_{28} & -0.15 x_{1} & +  0.00 x_{30} & +  0.02 x_{21} & -0.11 x_{6} & -0.05 x_{23} & -0.04 x_{17} & +  0.46 x_{2} & +  0.11 x_{18} & +  0.14 x_{8} & +  0.27 x_{7} & +  0.92 x_{12} & +  0.15 x_{13} & +  1.31 x_{14} & +  0.05 x_{29}\\
 x_{10}   &  0.0427883755003 & +  0.02 x_{28} & -0.43 x_{1} & +  0.02 x_{30} & -0.03 x_{21} & +  0.48 x_{6} & -0.01 x_{23} & -0.00 x_{17} & -0.33 x_{2} & -0.01 x_{18} & -0.16 x_{8} & +  0.25 x_{7} & -0.35 x_{12} & -0.06 x_{13} & +  0.06 x_{14} & +  0.04 x_{29}\\
 x_{3}   &  0.804729555684 & +  0.07 x_{28} & +  1.61 x_{1} & -0.08 x_{30} & +  0.09 x_{21} & +  0.69 x_{6} & -0.07 x_{23} & -0.09 x_{17} & +  1.31 x_{2} & +  0.09 x_{18} & +  0.97 x_{8} & -1.19 x_{7} & +  0.91 x_{12} & +  0.49 x_{13} & +  0.47 x_{14} & +  0.09 x_{29}\\
 x_{31}   &  32.5582421149 & +  0.23 x_{28} & +  9.24 x_{1} & -0.91 x_{30} & -0.55 x_{21} & + 25.00 x_{6} & +  0.46 x_{23} & +  0.66 x_{17} & +  3.77 x_{2} & -1.32 x_{18} & -2.49 x_{8} & -9.89 x_{7} & -27.00 x_{12} & +  8.40 x_{13} & -28.38 x_{14} & -0.05 x_{29}\\
 x_{32}   &  1.32475149382 & +  0.71 x_{28} & -8.79 x_{1} & -0.79 x_{30} & +  0.96 x_{21} & +  0.55 x_{6} & -0.46 x_{23} & +  1.01 x_{17} & + 32.56 x_{2} & +  1.59 x_{18} & + 28.75 x_{8} & -0.77 x_{7} & -10.26 x_{12} & + 25.28 x_{13} & +  4.33 x_{14} & +  2.25 x_{29}\\
\hline
z    &  12.0071339039 & -0.10 x_{28} & -2.09 x_{1} & -0.04 x_{30} & +  0.20 x_{21} & -6.15 x_{6} & -0.08 x_{23} & -0.67 x_{17} & -2.97 x_{2} & +  0.54 x_{18} & -2.55 x_{8} & -2.56 x_{7} & + 12.32 x_{12} & +  1.14 x_{13} & + 11.18 x_{14} & -0.02 x_{29}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.45488414288 & +  0.11 x_{28} & -1.25 x_{1} & +  0.10 x_{30} & -0.07 x_{21} & +  2.20 x_{6} & -0.08 x_{23} & -0.19 x_{17} & -1.78 x_{2} & +  0.04 x_{18} & -1.98 x_{8} & -0.38 x_{7} & -4.85 x_{10} & -1.30 x_{13} & +  2.00 x_{14} & +  0.18 x_{29}\\
 x_{11}   &  0.324752527026 & +  0.09 x_{28} & -0.50 x_{1} & +  0.10 x_{30} & -0.06 x_{21} & +  2.09 x_{6} & -0.09 x_{23} & -0.08 x_{17} & -1.47 x_{2} & -0.03 x_{18} & -1.22 x_{8} & +  0.20 x_{7} & -3.81 x_{10} & -0.84 x_{13} & +  0.92 x_{14} & +  0.05 x_{29}\\
 x_{15}   &  0.642777223042 & +  0.07 x_{28} & -1.68 x_{1} & +  0.09 x_{30} & -0.04 x_{21} & +  0.34 x_{6} & +  0.00 x_{23} & +  0.04 x_{17} & -0.70 x_{2} & +  0.04 x_{18} & +  0.16 x_{8} & +  1.54 x_{7} & -1.68 x_{10} & -0.18 x_{13} & +  0.37 x_{14} & +  0.08 x_{29}\\
 x_{19}   &  30.9285739274 & +  1.62 x_{28} & +  7.17 x_{1} & +  0.13 x_{30} & -0.75 x_{21} & + 42.22 x_{6} & -1.46 x_{23} & -2.35 x_{17} & -15.30 x_{2} & +  0.38 x_{18} & -26.65 x_{8} & -14.81 x_{7} & -54.72 x_{10} & -12.71 x_{13} & +  8.78 x_{14} & +  1.62 x_{29}\\
 x_{20}   &  19.5864712187 & -1.11 x_{28} & +  7.00 x_{1} & -0.37 x_{30} & +  0.05 x_{21} & -6.97 x_{6} & +  0.26 x_{23} & +  0.12 x_{17} & -10.95 x_{2} & -0.43 x_{18} & -0.36 x_{8} & -3.13 x_{7} & + 43.63 x_{10} & -12.71 x_{13} & -1.16 x_{14} & -2.79 x_{29}\\
 x_{4}   &  1.61329717329 & +  0.05 x_{28} & -1.01 x_{1} & +  0.07 x_{30} & -0.09 x_{21} & +  1.15 x_{6} & +  0.00 x_{23} & -0.06 x_{17} & -1.99 x_{2} & -0.02 x_{18} & -1.59 x_{8} & +  0.92 x_{7} & -1.87 x_{10} & -1.36 x_{13} & +  0.65 x_{14} & -0.03 x_{29}\\
 x_{22}   &  16.6780171453 & -0.73 x_{28} & -9.41 x_{1} & +  0.38 x_{30} & +  0.35 x_{21} & -20.94 x_{6} & +  0.32 x_{23} & +  1.94 x_{17} & +  8.31 x_{2} & +  0.25 x_{18} & + 17.98 x_{8} & +  7.82 x_{7} & + 34.00 x_{10} & -0.87 x_{13} & -3.44 x_{14} & -1.48 x_{29}\\
 x_{16}   &  23.0495394884 & +  0.62 x_{28} & -4.93 x_{1} & -0.82 x_{30} & +  1.05 x_{21} & +  2.74 x_{6} & -0.25 x_{23} & -0.84 x_{17} & +  7.39 x_{2} & +  1.47 x_{18} & + 12.44 x_{8} & -15.45 x_{7} & +  8.33 x_{10} & +  8.70 x_{13} & + 16.23 x_{14} & +  2.23 x_{29}\\
 x_{24}   &  6.88651698393 & -1.75 x_{28} & -2.01 x_{1} & -0.07 x_{30} & +  0.30 x_{21} & -34.53 x_{6} & +  1.69 x_{23} & +  3.21 x_{17} & + 13.15 x_{2} & -1.62 x_{18} & + 25.02 x_{8} & +  7.83 x_{7} & + 53.50 x_{10} & +  6.64 x_{13} & -22.51 x_{14} & -2.54 x_{29}\\
 x_{25}   &  16.4888011368 & -1.46 x_{28} & +  6.90 x_{1} & -0.66 x_{30} & +  0.62 x_{21} & -33.95 x_{6} & +  1.35 x_{23} & +  2.37 x_{17} & +  4.93 x_{2} & -1.12 x_{18} & + 12.62 x_{8} & +  3.86 x_{7} & + 61.90 x_{10} & +  6.48 x_{13} & -26.34 x_{14} & -2.62 x_{29}\\
 x_{26}   &  38.1647815932 & +  0.62 x_{28} & + 29.16 x_{1} & -0.45 x_{30} & +  0.25 x_{21} & + 17.14 x_{6} & -1.17 x_{23} & -2.08 x_{17} & +  1.73 x_{2} & -0.11 x_{18} & -19.74 x_{8} & -30.95 x_{7} & -24.00 x_{10} & -4.41 x_{13} & +  7.05 x_{14} & +  0.20 x_{29}\\
 x_{27}   &  69.2272604673 & -1.02 x_{28} & +  6.14 x_{1} & -0.80 x_{30} & +  0.51 x_{21} & -19.35 x_{6} & +  0.52 x_{23} & +  0.93 x_{17} & + 13.61 x_{2} & -0.74 x_{18} & +  5.29 x_{8} & -17.36 x_{7} & + 14.98 x_{10} & + 18.39 x_{13} & -17.19 x_{14} & -0.62 x_{29}\\
 x_{9}   &  1.05642958111 & +  0.08 x_{28} & -1.29 x_{1} & +  0.06 x_{30} & -0.05 x_{21} & +  1.16 x_{6} & -0.07 x_{23} & -0.04 x_{17} & -0.41 x_{2} & +  0.09 x_{18} & -0.30 x_{8} & +  0.93 x_{7} & -2.67 x_{10} & -0.00 x_{13} & +  1.47 x_{14} & +  0.14 x_{29}\\
 x_{12}   &  0.123582045856 & +  0.06 x_{28} & -1.24 x_{1} & +  0.06 x_{30} & -0.07 x_{21} & +  1.37 x_{6} & -0.02 x_{23} & -0.00 x_{17} & -0.95 x_{2} & -0.02 x_{18} & -0.47 x_{8} & +  0.71 x_{7} & -2.89 x_{10} & -0.16 x_{13} & +  0.17 x_{14} & +  0.10 x_{29}\\
 x_{3}   &  0.917711109458 & +  0.12 x_{28} & +  0.48 x_{1} & -0.03 x_{30} & +  0.02 x_{21} & +  1.95 x_{6} & -0.10 x_{23} & -0.10 x_{17} & +  0.44 x_{2} & +  0.07 x_{18} & +  0.53 x_{8} & -0.54 x_{7} & -2.64 x_{10} & +  0.34 x_{13} & +  0.63 x_{14} & +  0.19 x_{29}\\
 x_{31}   &  29.2212949917 & -1.49 x_{28} & + 42.59 x_{1} & -2.54 x_{30} & +  1.41 x_{21} & -12.11 x_{6} & +  1.11 x_{23} & +  0.79 x_{17} & + 29.39 x_{2} & -0.82 x_{18} & + 10.29 x_{8} & -29.09 x_{7} & + 77.99 x_{10} & + 12.80 x_{13} & -33.01 x_{14} & -2.79 x_{29}\\
 x_{32}   &  0.0570368386597 & +  0.06 x_{28} & +  3.88 x_{1} & -1.41 x_{30} & +  1.71 x_{21} & -13.55 x_{6} & -0.21 x_{23} & +  1.05 x_{17} & + 42.29 x_{2} & +  1.78 x_{18} & + 33.61 x_{8} & -8.07 x_{7} & + 29.63 x_{10} & + 26.95 x_{13} & +  2.57 x_{14} & +  1.21 x_{29}\\
\hline
z    &  13.529234508 & +  0.69 x_{28} & -17.30 x_{1} & +  0.70 x_{30} & -0.70 x_{21} & + 10.78 x_{6} & -0.37 x_{23} & -0.72 x_{17} & -14.66 x_{2} & +  0.32 x_{18} & -8.38 x_{8} & +  6.20 x_{7} & -35.57 x_{10} & -0.86 x_{13} & + 13.30 x_{14} & +  1.24 x_{29}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{32} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.46413422768 & +  0.12 x_{28} & -0.62 x_{1} & -0.13 x_{30} & +  0.21 x_{21} & -0.16 x_{32} & -0.12 x_{23} & -0.02 x_{17} & +  5.08 x_{2} & +  0.33 x_{18} & +  3.47 x_{8} & -1.69 x_{7} & -0.05 x_{10} & +  3.07 x_{13} & +  2.42 x_{14} & +  0.38 x_{29}\\
 x_{11}   &  0.333542366512 & +  0.10 x_{28} & +  0.10 x_{1} & -0.11 x_{30} & +  0.20 x_{21} & -0.15 x_{32} & -0.12 x_{23} & +  0.08 x_{17} & +  5.05 x_{2} & +  0.25 x_{18} & +  3.96 x_{8} & -1.05 x_{7} & +  0.76 x_{10} & +  3.32 x_{13} & +  1.32 x_{14} & +  0.24 x_{29}\\
 x_{15}   &  0.644196983638 & +  0.07 x_{28} & -1.58 x_{1} & +  0.05 x_{30} & +  0.00 x_{21} & -0.02 x_{32} & -0.00 x_{23} & +  0.06 x_{17} & +  0.35 x_{2} & +  0.08 x_{18} & +  1.00 x_{8} & +  1.34 x_{7} & -0.94 x_{10} & +  0.49 x_{13} & +  0.44 x_{14} & +  0.11 x_{29}\\
 x_{19}   &  31.106317555 & +  1.79 x_{28} & + 19.26 x_{1} & -4.26 x_{30} & +  4.57 x_{21} & -3.12 x_{32} & -2.11 x_{23} & +  0.94 x_{17} & + 116.49 x_{2} & +  5.93 x_{18} & + 78.10 x_{8} & -39.94 x_{7} & + 37.60 x_{10} & + 71.28 x_{13} & + 16.81 x_{14} & +  5.39 x_{29}\\
 x_{20}   &  19.5571066209 & -1.13 x_{28} & +  5.00 x_{1} & +  0.36 x_{30} & -0.83 x_{21} & +  0.51 x_{32} & +  0.37 x_{23} & -0.42 x_{17} & -32.72 x_{2} & -1.35 x_{18} & -17.67 x_{8} & +  1.02 x_{7} & + 28.37 x_{10} & -26.59 x_{13} & -2.48 x_{14} & -3.42 x_{29}\\
 x_{4}   &  1.61813115084 & +  0.06 x_{28} & -0.68 x_{1} & -0.05 x_{30} & +  0.06 x_{21} & -0.08 x_{32} & -0.02 x_{23} & +  0.03 x_{17} & +  1.59 x_{2} & +  0.13 x_{18} & +  1.26 x_{8} & +  0.24 x_{7} & +  0.64 x_{10} & +  0.93 x_{13} & +  0.87 x_{14} & +  0.07 x_{29}\\
 x_{22}   &  16.5898550288 & -0.82 x_{28} & -15.41 x_{1} & +  2.55 x_{30} & -2.29 x_{21} & +  1.55 x_{32} & +  0.64 x_{23} & +  0.32 x_{17} & -57.06 x_{2} & -2.50 x_{18} & -33.97 x_{8} & + 20.29 x_{7} & -11.80 x_{10} & -42.53 x_{13} & -7.42 x_{14} & -3.35 x_{29}\\
 x_{16}   &  23.0610745717 & +  0.63 x_{28} & -4.15 x_{1} & -1.11 x_{30} & +  1.39 x_{21} & -0.20 x_{32} & -0.29 x_{23} & -0.62 x_{17} & + 15.94 x_{2} & +  1.83 x_{18} & + 19.24 x_{8} & -17.08 x_{7} & + 14.32 x_{10} & + 14.15 x_{13} & + 16.75 x_{14} & +  2.47 x_{29}\\
 x_{24}   &  6.74112238478 & -1.90 x_{28} & -11.90 x_{1} & +  3.52 x_{30} & -4.05 x_{21} & +  2.55 x_{32} & +  2.23 x_{23} & +  0.53 x_{17} & -94.65 x_{2} & -6.16 x_{18} & -60.67 x_{8} & + 28.39 x_{7} & -22.02 x_{10} & -62.07 x_{13} & -29.07 x_{14} & -5.62 x_{29}\\
 x_{25}   &  16.345857909 & -1.60 x_{28} & -2.83 x_{1} & +  2.87 x_{30} & -3.65 x_{21} & +  2.51 x_{32} & +  1.87 x_{23} & -0.27 x_{17} & -101.05 x_{2} & -5.58 x_{18} & -71.62 x_{8} & + 24.07 x_{7} & -12.35 x_{10} & -61.07 x_{13} & -32.80 x_{14} & -5.65 x_{29}\\
 x_{26}   &  38.2369489613 & +  0.69 x_{28} & + 34.07 x_{1} & -2.23 x_{30} & +  2.41 x_{21} & -1.27 x_{32} & -1.43 x_{23} & -0.75 x_{17} & + 55.23 x_{2} & +  2.14 x_{18} & + 22.79 x_{8} & -41.15 x_{7} & + 13.48 x_{10} & + 29.69 x_{13} & + 10.31 x_{14} & +  1.73 x_{29}\\
 x_{27}   &  69.1458103984 & -1.10 x_{28} & +  0.60 x_{1} & +  1.21 x_{30} & -1.92 x_{21} & +  1.43 x_{32} & +  0.82 x_{23} & -0.57 x_{17} & -46.78 x_{2} & -3.28 x_{18} & -42.71 x_{8} & -5.84 x_{7} & -27.33 x_{10} & -20.10 x_{13} & -20.87 x_{14} & -2.35 x_{29}\\
 x_{9}   &  1.06129656923 & +  0.09 x_{28} & -0.96 x_{1} & -0.06 x_{30} & +  0.10 x_{21} & -0.09 x_{32} & -0.09 x_{23} & +  0.05 x_{17} & +  3.19 x_{2} & +  0.24 x_{18} & +  2.57 x_{8} & +  0.24 x_{7} & -0.14 x_{10} & +  2.30 x_{13} & +  1.69 x_{14} & +  0.25 x_{29}\\
 x_{12}   &  0.129368993276 & +  0.07 x_{28} & -0.84 x_{1} & -0.08 x_{30} & +  0.10 x_{21} & -0.10 x_{32} & -0.05 x_{23} & +  0.10 x_{17} & +  3.34 x_{2} & +  0.16 x_{18} & +  2.94 x_{8} & -0.11 x_{7} & +  0.12 x_{10} & +  2.57 x_{13} & +  0.43 x_{14} & +  0.22 x_{29}\\
 x_{3}   &  0.925902585445 & +  0.13 x_{28} & +  1.03 x_{1} & -0.23 x_{30} & +  0.27 x_{21} & -0.14 x_{32} & -0.13 x_{23} & +  0.06 x_{17} & +  6.51 x_{2} & +  0.33 x_{18} & +  5.36 x_{8} & -1.70 x_{7} & +  1.61 x_{10} & +  4.21 x_{13} & +  1.00 x_{14} & +  0.36 x_{29}\\
 x_{31}   &  29.1702986292 & -1.54 x_{28} & + 39.12 x_{1} & -1.28 x_{30} & -0.12 x_{21} & +  0.89 x_{32} & +  1.30 x_{23} & -0.15 x_{17} & -8.42 x_{2} & -2.41 x_{18} & -19.76 x_{8} & -21.88 x_{7} & + 51.50 x_{10} & -11.30 x_{13} & -35.31 x_{14} & -3.87 x_{29}\\
 x_{6}   &  0.00421013515496 & +  0.00 x_{28} & +  0.29 x_{1} & -0.10 x_{30} & +  0.13 x_{21} & -0.07 x_{32} & -0.02 x_{23} & +  0.08 x_{17} & +  3.12 x_{2} & +  0.13 x_{18} & +  2.48 x_{8} & -0.60 x_{7} & +  2.19 x_{10} & +  1.99 x_{13} & +  0.19 x_{14} & +  0.09 x_{29}\\
\hline
z    &  13.5746261536 & +  0.73 x_{28} & -14.21 x_{1} & -0.42 x_{30} & +  0.66 x_{21} & -0.80 x_{32} & -0.54 x_{23} & +  0.12 x_{17} & + 19.00 x_{2} & +  1.73 x_{18} & + 18.37 x_{8} & -0.22 x_{7} & -11.99 x_{10} & + 20.59 x_{13} & + 15.34 x_{14} & +  2.20 x_{29}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.82569482486 & +  0.02 x_{28} & -1.26 x_{1} & +  0.06 x_{30} & -0.01 x_{21} & -0.03 x_{32} & +  0.00 x_{23} & +  0.01 x_{17} & -0.05 x_{24} & -0.00 x_{18} & +  0.21 x_{8} & -0.16 x_{7} & -1.23 x_{10} & -0.26 x_{13} & +  0.86 x_{14} & +  0.08 x_{29}\\
 x_{11}   &  0.692895726522 & +  0.00 x_{28} & -0.53 x_{1} & +  0.07 x_{30} & -0.01 x_{21} & -0.02 x_{32} & -0.00 x_{23} & +  0.11 x_{17} & -0.05 x_{24} & -0.08 x_{18} & +  0.72 x_{8} & +  0.47 x_{7} & -0.42 x_{10} & +  0.01 x_{13} & -0.23 x_{14} & -0.06 x_{29}\\
 x_{15}   &  0.669478970992 & +  0.07 x_{28} & -1.63 x_{1} & +  0.07 x_{30} & -0.01 x_{21} & -0.02 x_{32} & +  0.00 x_{23} & +  0.07 x_{17} & -0.00 x_{24} & +  0.06 x_{18} & +  0.77 x_{8} & +  1.45 x_{7} & -1.02 x_{10} & +  0.26 x_{13} & +  0.33 x_{14} & +  0.09 x_{29}\\
 x_{19}   &  39.4031049155 & -0.54 x_{28} & +  4.61 x_{1} & +  0.08 x_{30} & -0.41 x_{21} & +  0.02 x_{32} & +  0.63 x_{23} & +  1.59 x_{17} & -1.23 x_{24} & -1.64 x_{18} & +  3.43 x_{8} & -5.00 x_{7} & + 10.50 x_{10} & -5.11 x_{13} & -18.97 x_{14} & -1.53 x_{29}\\
 x_{20}   &  17.226503175 & -0.48 x_{28} & +  9.12 x_{1} & -0.86 x_{30} & +  0.57 x_{21} & -0.37 x_{32} & -0.40 x_{23} & -0.61 x_{17} & +  0.35 x_{24} & +  0.78 x_{18} & +  3.31 x_{8} & -8.79 x_{7} & + 35.99 x_{10} & -5.13 x_{13} & +  7.57 x_{14} & -1.47 x_{29}\\
 x_{4}   &  1.7313848901 & +  0.03 x_{28} & -0.88 x_{1} & +  0.01 x_{30} & -0.01 x_{21} & -0.04 x_{32} & +  0.02 x_{23} & +  0.04 x_{17} & -0.02 x_{24} & +  0.02 x_{18} & +  0.24 x_{8} & +  0.72 x_{7} & +  0.27 x_{10} & -0.12 x_{13} & +  0.38 x_{14} & -0.02 x_{29}\\
 x_{22}   &  12.52601901 & +  0.33 x_{28} & -8.24 x_{1} & +  0.43 x_{30} & +  0.15 x_{21} & +  0.01 x_{32} & -0.70 x_{23} & -0.00 x_{17} & +  0.60 x_{24} & +  1.21 x_{18} & +  2.60 x_{8} & +  3.18 x_{7} & +  1.48 x_{10} & -5.12 x_{13} & + 10.10 x_{14} & +  0.04 x_{29}\\
 x_{16}   &  24.1962361625 & +  0.31 x_{28} & -6.15 x_{1} & -0.51 x_{30} & +  0.71 x_{21} & +  0.23 x_{32} & +  0.09 x_{23} & -0.54 x_{17} & -0.17 x_{24} & +  0.79 x_{18} & +  9.02 x_{8} & -12.30 x_{7} & + 10.61 x_{10} & +  3.70 x_{13} & + 11.86 x_{14} & +  1.53 x_{29}\\
 x_{2}   &  0.0712234214871 & -0.02 x_{28} & -0.13 x_{1} & +  0.04 x_{30} & -0.04 x_{21} & +  0.03 x_{32} & +  0.02 x_{23} & +  0.01 x_{17} & -0.01 x_{24} & -0.07 x_{18} & -0.64 x_{8} & +  0.30 x_{7} & -0.23 x_{10} & -0.66 x_{13} & -0.31 x_{14} & -0.06 x_{29}\\
 x_{25}   &  9.1486613349 & +  0.42 x_{28} & +  9.88 x_{1} & -0.89 x_{30} & +  0.67 x_{21} & -0.22 x_{32} & -0.51 x_{23} & -0.83 x_{17} & +  1.07 x_{24} & +  0.99 x_{18} & -6.85 x_{8} & -6.23 x_{7} & + 11.17 x_{10} & +  5.20 x_{13} & -1.76 x_{14} & +  0.35 x_{29}\\
 x_{26}   &  42.1708505432 & -0.41 x_{28} & + 27.12 x_{1} & -0.17 x_{30} & +  0.05 x_{21} & +  0.22 x_{32} & -0.13 x_{23} & -0.44 x_{17} & -0.58 x_{24} & -1.45 x_{18} & -12.62 x_{8} & -24.59 x_{7} & +  0.63 x_{10} & -6.53 x_{13} & -6.66 x_{14} & -1.55 x_{29}\\
 x_{27}   &  65.8137315134 & -0.16 x_{28} & +  6.48 x_{1} & -0.53 x_{30} & +  0.08 x_{21} & +  0.17 x_{32} & -0.28 x_{23} & -0.84 x_{17} & +  0.49 x_{24} & -0.24 x_{18} & -12.73 x_{8} & -19.87 x_{7} & -16.44 x_{10} & + 10.58 x_{13} & -6.50 x_{14} & +  0.43 x_{29}\\
 x_{9}   &  1.28878506708 & +  0.02 x_{28} & -1.36 x_{1} & +  0.06 x_{30} & -0.04 x_{21} & +  0.00 x_{32} & -0.02 x_{23} & +  0.06 x_{17} & -0.03 x_{24} & +  0.04 x_{18} & +  0.53 x_{8} & +  1.20 x_{7} & -0.88 x_{10} & +  0.21 x_{13} & +  0.71 x_{14} & +  0.06 x_{29}\\
 x_{12}   &  0.367394089666 & +  0.00 x_{28} & -1.26 x_{1} & +  0.04 x_{30} & -0.04 x_{21} & -0.01 x_{32} & +  0.03 x_{23} & +  0.12 x_{17} & -0.04 x_{24} & -0.06 x_{18} & +  0.79 x_{8} & +  0.90 x_{7} & -0.66 x_{10} & +  0.38 x_{13} & -0.59 x_{14} & +  0.03 x_{29}\\
 x_{3}   &  1.38976237115 & +  0.00 x_{28} & +  0.22 x_{1} & +  0.01 x_{30} & -0.01 x_{21} & +  0.03 x_{32} & +  0.03 x_{23} & +  0.09 x_{17} & -0.07 x_{24} & -0.10 x_{18} & +  1.19 x_{8} & +  0.26 x_{7} & +  0.10 x_{10} & -0.06 x_{13} & -1.00 x_{14} & -0.03 x_{29}\\
 x_{31}   &  28.5704562142 & -1.37 x_{28} & + 40.18 x_{1} & -1.59 x_{30} & +  0.25 x_{21} & +  0.67 x_{32} & +  1.10 x_{23} & -0.20 x_{17} & +  0.09 x_{24} & -1.87 x_{18} & -14.36 x_{8} & -24.41 x_{7} & + 53.46 x_{10} & -5.78 x_{13} & -32.72 x_{14} & -3.37 x_{29}\\
 x_{6}   &  0.226538637173 & -0.06 x_{28} & -0.11 x_{1} & +  0.01 x_{30} & -0.01 x_{21} & +  0.01 x_{32} & +  0.06 x_{23} & +  0.10 x_{17} & -0.03 x_{24} & -0.07 x_{18} & +  0.48 x_{8} & +  0.34 x_{7} & +  1.46 x_{10} & -0.06 x_{13} & -0.77 x_{14} & -0.10 x_{29}\\
\hline
z    &  14.9277943865 & +  0.35 x_{28} & -16.60 x_{1} & +  0.29 x_{30} & -0.15 x_{21} & -0.28 x_{32} & -0.09 x_{23} & +  0.22 x_{17} & -0.20 x_{24} & +  0.50 x_{18} & +  6.19 x_{8} & +  5.48 x_{7} & -16.42 x_{10} & +  8.13 x_{13} & +  9.51 x_{14} & +  1.07 x_{29}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{31} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.63349575215 & +  0.03 x_{28} & -1.53 x_{1} & +  0.07 x_{30} & -0.01 x_{21} & -0.03 x_{32} & -0.00 x_{23} & +  0.01 x_{17} & -0.05 x_{24} & +  0.01 x_{18} & +  0.31 x_{8} & +  0.01 x_{31} & -1.59 x_{10} & -0.22 x_{13} & +  1.08 x_{14} & +  0.10 x_{29}\\
 x_{11}   &  1.23989522482 & -0.02 x_{28} & +  0.24 x_{1} & +  0.04 x_{30} & -0.01 x_{21} & -0.01 x_{32} & +  0.02 x_{23} & +  0.10 x_{17} & -0.05 x_{24} & -0.12 x_{18} & +  0.45 x_{8} & -0.02 x_{31} & +  0.61 x_{10} & -0.10 x_{13} & -0.86 x_{14} & -0.13 x_{29}\\
 x_{15}   &  2.36602877739 & -0.01 x_{28} & +  0.76 x_{1} & -0.03 x_{30} & +  0.00 x_{21} & +  0.02 x_{32} & +  0.07 x_{23} & +  0.05 x_{17} & +  0.00 x_{24} & -0.05 x_{18} & -0.08 x_{8} & -0.06 x_{31} & +  2.15 x_{10} & -0.08 x_{13} & -1.61 x_{14} & -0.11 x_{29}\\
 x_{19}   &  33.5460851878 & -0.26 x_{28} & -3.62 x_{1} & +  0.40 x_{30} & -0.46 x_{21} & -0.12 x_{32} & +  0.41 x_{23} & +  1.63 x_{17} & -1.25 x_{24} & -1.26 x_{18} & +  6.38 x_{8} & +  0.21 x_{31} & -0.46 x_{10} & -3.93 x_{13} & -12.27 x_{14} & -0.84 x_{29}\\
 x_{20}   &  6.93699090714 & +  0.01 x_{28} & -5.35 x_{1} & -0.29 x_{30} & +  0.48 x_{21} & -0.61 x_{32} & -0.80 x_{23} & -0.53 x_{17} & +  0.31 x_{24} & +  1.45 x_{18} & +  8.48 x_{8} & +  0.36 x_{31} & + 16.74 x_{10} & -3.05 x_{13} & + 19.35 x_{14} & -0.26 x_{29}\\
 x_{4}   &  2.57207536213 & -0.02 x_{28} & +  0.31 x_{1} & -0.04 x_{30} & -0.01 x_{21} & -0.02 x_{32} & +  0.05 x_{23} & +  0.03 x_{17} & -0.01 x_{24} & -0.03 x_{18} & -0.18 x_{8} & -0.03 x_{31} & +  1.84 x_{10} & -0.29 x_{13} & -0.59 x_{14} & -0.12 x_{29}\\
 x_{22}   &  16.2457853656 & +  0.15 x_{28} & -3.01 x_{1} & +  0.22 x_{30} & +  0.18 x_{21} & +  0.10 x_{32} & -0.56 x_{23} & -0.03 x_{17} & +  0.61 x_{24} & +  0.97 x_{18} & +  0.73 x_{8} & -0.13 x_{31} & +  8.44 x_{10} & -5.87 x_{13} & +  5.84 x_{14} & -0.40 x_{29}\\
 x_{16}   &  9.797676144 & +  1.00 x_{28} & -26.40 x_{1} & +  0.29 x_{30} & +  0.59 x_{21} & -0.11 x_{32} & -0.47 x_{23} & -0.43 x_{17} & -0.21 x_{24} & +  1.73 x_{18} & + 16.26 x_{8} & +  0.50 x_{31} & -16.33 x_{10} & +  6.61 x_{13} & + 28.35 x_{14} & +  3.23 x_{29}\\
 x_{2}   &  0.42227108004 & -0.04 x_{28} & +  0.37 x_{1} & +  0.02 x_{30} & -0.04 x_{21} & +  0.04 x_{32} & +  0.04 x_{23} & +  0.00 x_{17} & -0.01 x_{24} & -0.09 x_{18} & -0.82 x_{8} & -0.01 x_{31} & +  0.42 x_{10} & -0.73 x_{13} & -0.71 x_{14} & -0.10 x_{29}\\
 x_{25}   &  1.8536226011 & +  0.77 x_{28} & -0.38 x_{1} & -0.48 x_{30} & +  0.61 x_{21} & -0.39 x_{32} & -0.79 x_{23} & -0.78 x_{17} & +  1.04 x_{24} & +  1.46 x_{18} & -3.18 x_{8} & +  0.26 x_{31} & -2.48 x_{10} & +  6.67 x_{13} & +  6.60 x_{14} & +  1.22 x_{29}\\
 x_{26}   &  13.3889734791 & +  0.97 x_{28} & -13.35 x_{1} & +  1.43 x_{30} & -0.20 x_{21} & -0.45 x_{32} & -1.24 x_{23} & -0.24 x_{17} & -0.67 x_{24} & +  0.43 x_{18} & +  1.85 x_{8} & +  1.01 x_{31} & -53.22 x_{10} & -0.71 x_{13} & + 26.30 x_{14} & +  1.85 x_{29}\\
 x_{27}   &  42.5561112976 & +  0.95 x_{28} & -26.22 x_{1} & +  0.77 x_{30} & -0.12 x_{21} & -0.38 x_{32} & -1.17 x_{23} & -0.67 x_{17} & +  0.42 x_{24} & +  1.28 x_{18} & -1.04 x_{8} & +  0.81 x_{31} & -59.96 x_{10} & + 15.29 x_{13} & + 20.14 x_{14} & +  3.18 x_{29}\\
 x_{9}   &  2.69500463061 & -0.04 x_{28} & +  0.61 x_{1} & -0.02 x_{30} & -0.03 x_{21} & +  0.03 x_{32} & +  0.04 x_{23} & +  0.05 x_{17} & -0.03 x_{24} & -0.06 x_{18} & -0.18 x_{8} & -0.05 x_{31} & +  1.75 x_{10} & -0.08 x_{13} & -0.90 x_{14} & -0.11 x_{29}\\
 x_{12}   &  1.41526476019 & -0.05 x_{28} & +  0.21 x_{1} & -0.02 x_{30} & -0.03 x_{21} & +  0.01 x_{32} & +  0.07 x_{23} & +  0.11 x_{17} & -0.03 x_{24} & -0.12 x_{18} & +  0.27 x_{8} & -0.04 x_{31} & +  1.30 x_{10} & +  0.17 x_{13} & -1.79 x_{14} & -0.10 x_{29}\\
 x_{3}   &  1.68844620244 & -0.01 x_{28} & +  0.64 x_{1} & -0.00 x_{30} & -0.01 x_{21} & +  0.04 x_{32} & +  0.04 x_{23} & +  0.09 x_{17} & -0.07 x_{24} & -0.11 x_{18} & +  1.04 x_{8} & -0.01 x_{31} & +  0.66 x_{10} & -0.12 x_{13} & -1.35 x_{14} & -0.06 x_{29}\\
 x_{7}   &  1.17051569007 & -0.06 x_{28} & +  1.65 x_{1} & -0.07 x_{30} & +  0.01 x_{21} & +  0.03 x_{32} & +  0.05 x_{23} & -0.01 x_{17} & +  0.00 x_{24} & -0.08 x_{18} & -0.59 x_{8} & -0.04 x_{31} & +  2.19 x_{10} & -0.24 x_{13} & -1.34 x_{14} & -0.14 x_{29}\\
 x_{6}   &  0.625492539148 & -0.08 x_{28} & +  0.46 x_{1} & -0.01 x_{30} & -0.00 x_{21} & +  0.02 x_{32} & +  0.07 x_{23} & +  0.09 x_{17} & -0.03 x_{24} & -0.10 x_{18} & +  0.28 x_{8} & -0.01 x_{31} & +  2.21 x_{10} & -0.14 x_{13} & -1.23 x_{14} & -0.14 x_{29}\\
\hline
z    &  21.3366120229 & +  0.05 x_{28} & -7.59 x_{1} & -0.07 x_{30} & -0.10 x_{21} & -0.13 x_{32} & +  0.15 x_{23} & +  0.18 x_{17} & -0.18 x_{24} & +  0.08 x_{18} & +  2.97 x_{8} & -0.22 x_{31} & -4.42 x_{10} & +  6.83 x_{13} & +  2.17 x_{14} & +  0.31 x_{29}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.79420138344 & +  0.01 x_{28} & -1.39 x_{1} & +  0.08 x_{30} & -0.03 x_{21} & -0.02 x_{32} & +  0.01 x_{23} & +  0.01 x_{17} & -0.06 x_{24} & -0.02 x_{18} & -0.38 x_{2} & +  0.00 x_{31} & -1.43 x_{10} & -0.49 x_{13} & +  0.81 x_{14} & +  0.06 x_{29}\\
 x_{11}   &  1.4705099062 & -0.04 x_{28} & +  0.44 x_{1} & +  0.05 x_{30} & -0.03 x_{21} & +  0.01 x_{32} & +  0.04 x_{23} & +  0.11 x_{17} & -0.06 x_{24} & -0.16 x_{18} & -0.55 x_{2} & -0.03 x_{31} & +  0.84 x_{10} & -0.50 x_{13} & -1.25 x_{14} & -0.18 x_{29}\\
 x_{15}   &  2.32340574603 & -0.01 x_{28} & +  0.72 x_{1} & -0.03 x_{30} & +  0.01 x_{21} & +  0.02 x_{32} & +  0.07 x_{23} & +  0.05 x_{17} & +  0.00 x_{24} & -0.04 x_{18} & +  0.10 x_{2} & -0.06 x_{31} & +  2.11 x_{10} & -0.01 x_{13} & -1.54 x_{14} & -0.10 x_{29}\\
 x_{19}   &  36.8410183334 & -0.55 x_{28} & -0.75 x_{1} & +  0.54 x_{30} & -0.77 x_{21} & +  0.16 x_{32} & +  0.70 x_{23} & +  1.65 x_{17} & -1.32 x_{24} & -1.95 x_{18} & -7.80 x_{2} & +  0.11 x_{31} & +  2.85 x_{10} & -9.60 x_{13} & -17.80 x_{14} & -1.63 x_{29}\\
 x_{20}   &  11.3180563382 & -0.37 x_{28} & -1.54 x_{1} & -0.10 x_{30} & +  0.07 x_{21} & -0.24 x_{32} & -0.41 x_{23} & -0.50 x_{17} & +  0.22 x_{24} & +  0.54 x_{18} & -10.38 x_{2} & +  0.23 x_{31} & + 21.14 x_{10} & -10.59 x_{13} & + 12.00 x_{14} & -1.30 x_{29}\\
 x_{4}   &  2.47967803524 & -0.01 x_{28} & +  0.22 x_{1} & -0.04 x_{30} & +  0.00 x_{21} & -0.03 x_{32} & +  0.05 x_{23} & +  0.03 x_{17} & -0.01 x_{24} & -0.01 x_{18} & +  0.22 x_{2} & -0.03 x_{31} & +  1.75 x_{10} & -0.13 x_{13} & -0.43 x_{14} & -0.10 x_{29}\\
 x_{22}   &  16.6217633387 & +  0.12 x_{28} & -2.68 x_{1} & +  0.24 x_{30} & +  0.14 x_{21} & +  0.13 x_{32} & -0.52 x_{23} & -0.03 x_{17} & +  0.61 x_{24} & +  0.89 x_{18} & -0.89 x_{2} & -0.14 x_{31} & +  8.82 x_{10} & -6.52 x_{13} & +  5.21 x_{14} & -0.49 x_{29}\\
 x_{16}   &  18.1970019558 & +  0.26 x_{28} & -19.08 x_{1} & +  0.64 x_{30} & -0.20 x_{21} & +  0.59 x_{32} & +  0.27 x_{23} & -0.37 x_{17} & -0.40 x_{24} & -0.02 x_{18} & -19.89 x_{2} & +  0.26 x_{31} & -7.89 x_{10} & -7.84 x_{13} & + 14.24 x_{14} & +  1.22 x_{29}\\
 x_{8}   &  0.516591858108 & -0.05 x_{28} & +  0.45 x_{1} & +  0.02 x_{30} & -0.05 x_{21} & +  0.04 x_{32} & +  0.05 x_{23} & +  0.00 x_{17} & -0.01 x_{24} & -0.11 x_{18} & -1.22 x_{2} & -0.02 x_{31} & +  0.52 x_{10} & -0.89 x_{13} & -0.87 x_{14} & -0.12 x_{29}\\
 x_{25}   &  0.211521163084 & +  0.92 x_{28} & -1.81 x_{1} & -0.55 x_{30} & +  0.76 x_{21} & -0.52 x_{32} & -0.93 x_{23} & -0.79 x_{17} & +  1.08 x_{24} & +  1.81 x_{18} & +  3.89 x_{2} & +  0.30 x_{31} & -4.13 x_{10} & +  9.50 x_{13} & +  9.35 x_{14} & +  1.61 x_{29}\\
 x_{26}   &  14.3451896036 & +  0.88 x_{28} & -12.52 x_{1} & +  1.47 x_{30} & -0.29 x_{21} & -0.37 x_{32} & -1.16 x_{23} & -0.23 x_{17} & -0.69 x_{24} & +  0.23 x_{18} & -2.26 x_{2} & +  0.98 x_{31} & -52.26 x_{10} & -2.36 x_{13} & + 24.70 x_{14} & +  1.62 x_{29}\\
 x_{27}   &  42.0207792498 & +  1.00 x_{28} & -26.69 x_{1} & +  0.74 x_{30} & -0.07 x_{21} & -0.42 x_{32} & -1.22 x_{23} & -0.67 x_{17} & +  0.43 x_{24} & +  1.39 x_{18} & +  1.27 x_{2} & +  0.83 x_{31} & -60.50 x_{10} & + 16.21 x_{13} & + 21.04 x_{14} & +  3.31 x_{29}\\
 x_{9}   &  2.60128035738 & -0.03 x_{28} & +  0.53 x_{1} & -0.02 x_{30} & -0.02 x_{21} & +  0.03 x_{32} & +  0.03 x_{23} & +  0.05 x_{17} & -0.03 x_{24} & -0.04 x_{18} & +  0.22 x_{2} & -0.05 x_{31} & +  1.65 x_{10} & +  0.08 x_{13} & -0.74 x_{14} & -0.09 x_{29}\\
 x_{12}   &  1.55368989379 & -0.06 x_{28} & +  0.33 x_{1} & -0.01 x_{30} & -0.05 x_{21} & +  0.02 x_{32} & +  0.09 x_{23} & +  0.11 x_{17} & -0.04 x_{24} & -0.15 x_{18} & -0.33 x_{2} & -0.04 x_{31} & +  1.44 x_{10} & -0.07 x_{13} & -2.03 x_{14} & -0.13 x_{29}\\
 x_{3}   &  2.22356405606 & -0.06 x_{28} & +  1.10 x_{1} & +  0.02 x_{30} & -0.06 x_{21} & +  0.08 x_{32} & +  0.09 x_{23} & +  0.09 x_{17} & -0.08 x_{24} & -0.23 x_{18} & -1.27 x_{2} & -0.03 x_{31} & +  1.20 x_{10} & -1.05 x_{13} & -2.25 x_{14} & -0.19 x_{29}\\
 x_{7}   &  0.866573473655 & -0.03 x_{28} & +  1.38 x_{1} & -0.08 x_{30} & +  0.04 x_{21} & +  0.00 x_{32} & +  0.02 x_{23} & -0.01 x_{17} & +  0.01 x_{24} & -0.01 x_{18} & +  0.72 x_{2} & -0.03 x_{31} & +  1.88 x_{10} & +  0.29 x_{13} & -0.83 x_{14} & -0.07 x_{29}\\
 x_{6}   &  0.770022267846 & -0.09 x_{28} & +  0.58 x_{1} & -0.00 x_{30} & -0.02 x_{21} & +  0.03 x_{32} & +  0.09 x_{23} & +  0.09 x_{17} & -0.03 x_{24} & -0.13 x_{18} & -0.34 x_{2} & -0.02 x_{31} & +  2.35 x_{10} & -0.39 x_{13} & -1.47 x_{14} & -0.18 x_{29}\\
\hline
z    &  22.870213002 & -0.09 x_{28} & -6.25 x_{1} & -0.01 x_{30} & -0.24 x_{21} & -0.01 x_{32} & +  0.29 x_{23} & +  0.19 x_{17} & -0.22 x_{24} & -0.24 x_{18} & -3.63 x_{2} & -0.27 x_{31} & -2.88 x_{10} & +  4.19 x_{13} & -0.41 x_{14} & -0.05 x_{29}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.50733813322 & +  0.04 x_{28} & -1.64 x_{1} & +  0.06 x_{30} & +  0.00 x_{21} & -0.04 x_{32} & -0.02 x_{23} & +  0.01 x_{17} & -0.05 x_{24} & +  0.04 x_{18} & +  0.30 x_{2} & +  0.01 x_{31} & -1.71 x_{10} & +  0.56 x_{8} & +  1.29 x_{14} & +  0.13 x_{29}\\
 x_{11}   &  1.17969521897 & -0.02 x_{28} & +  0.18 x_{1} & +  0.04 x_{30} & -0.00 x_{21} & -0.01 x_{32} & +  0.01 x_{23} & +  0.10 x_{17} & -0.05 x_{24} & -0.10 x_{18} & +  0.14 x_{2} & -0.02 x_{31} & +  0.55 x_{10} & +  0.56 x_{8} & -0.76 x_{14} & -0.11 x_{29}\\
 x_{15}   &  2.31704381497 & -0.01 x_{28} & +  0.71 x_{1} & -0.03 x_{30} & +  0.01 x_{21} & +  0.02 x_{32} & +  0.06 x_{23} & +  0.05 x_{17} & +  0.00 x_{24} & -0.04 x_{18} & +  0.12 x_{2} & -0.06 x_{31} & +  2.10 x_{10} & +  0.01 x_{8} & -1.53 x_{14} & -0.10 x_{29}\\
 x_{19}   &  31.2641542057 & -0.06 x_{28} & -5.61 x_{1} & +  0.31 x_{30} & -0.24 x_{21} & -0.31 x_{32} & +  0.21 x_{23} & +  1.61 x_{17} & -1.20 x_{24} & -0.78 x_{18} & +  5.40 x_{2} & +  0.27 x_{31} & -2.75 x_{10} & + 10.80 x_{8} & -8.43 x_{14} & -0.30 x_{29}\\
 x_{20}   &  5.16522103466 & +  0.17 x_{28} & -6.90 x_{1} & -0.36 x_{30} & +  0.65 x_{21} & -0.75 x_{32} & -0.95 x_{23} & -0.55 x_{17} & +  0.35 x_{24} & +  1.82 x_{18} & +  4.20 x_{2} & +  0.41 x_{31} & + 14.96 x_{10} & + 11.91 x_{8} & + 22.33 x_{14} & +  0.17 x_{29}\\
 x_{4}   &  2.40494501658 & -0.00 x_{28} & +  0.16 x_{1} & -0.05 x_{30} & +  0.01 x_{21} & -0.04 x_{32} & +  0.04 x_{23} & +  0.03 x_{17} & -0.01 x_{24} & +  0.00 x_{18} & +  0.40 x_{2} & -0.02 x_{31} & +  1.68 x_{10} & +  0.14 x_{8} & -0.30 x_{14} & -0.08 x_{29}\\
 x_{22}   &  12.8358987598 & +  0.45 x_{28} & -5.98 x_{1} & +  0.08 x_{30} & +  0.50 x_{21} & -0.19 x_{32} & -0.86 x_{23} & -0.05 x_{17} & +  0.69 x_{24} & +  1.68 x_{18} & +  8.08 x_{2} & -0.03 x_{31} & +  5.01 x_{10} & +  7.33 x_{8} & + 11.57 x_{14} & +  0.42 x_{29}\\
 x_{16}   &  13.6395792882 & +  0.66 x_{28} & -23.05 x_{1} & +  0.45 x_{30} & +  0.23 x_{21} & +  0.21 x_{32} & -0.13 x_{23} & -0.41 x_{17} & -0.30 x_{24} & +  0.93 x_{18} & -9.10 x_{2} & +  0.39 x_{31} & -12.47 x_{10} & +  8.82 x_{8} & + 21.89 x_{14} & +  2.31 x_{29}\\
 x_{13}   &  0.581007752958 & -0.05 x_{28} & +  0.51 x_{1} & +  0.02 x_{30} & -0.05 x_{21} & +  0.05 x_{32} & +  0.05 x_{23} & +  0.00 x_{17} & -0.01 x_{24} & -0.12 x_{18} & -1.38 x_{2} & -0.02 x_{31} & +  0.58 x_{10} & -1.12 x_{8} & -0.98 x_{14} & -0.14 x_{29}\\
 x_{25}   &  5.73058110285 & +  0.43 x_{28} & +  3.00 x_{1} & -0.32 x_{30} & +  0.24 x_{21} & -0.06 x_{32} & -0.45 x_{23} & -0.75 x_{17} & +  0.96 x_{24} & +  0.66 x_{18} & -9.18 x_{2} & +  0.14 x_{31} & +  1.41 x_{10} & -10.68 x_{8} & +  0.09 x_{14} & +  0.29 x_{29}\\
 x_{26}   &  12.9752036551 & +  1.00 x_{28} & -13.71 x_{1} & +  1.41 x_{30} & -0.16 x_{21} & -0.48 x_{32} & -1.28 x_{23} & -0.24 x_{17} & -0.66 x_{24} & +  0.52 x_{18} & +  0.98 x_{2} & +  1.02 x_{31} & -53.64 x_{10} & +  2.65 x_{8} & + 27.00 x_{14} & +  1.94 x_{29}\\
 x_{27}   &  51.4375519941 & +  0.17 x_{28} & -18.49 x_{1} & +  1.14 x_{30} & -0.96 x_{21} & +  0.36 x_{32} & -0.39 x_{23} & -0.61 x_{17} & +  0.22 x_{24} & -0.57 x_{18} & -21.03 x_{2} & +  0.56 x_{31} & -51.04 x_{10} & -18.23 x_{8} & +  5.22 x_{14} & +  1.06 x_{29}\\
 x_{9}   &  2.64903214376 & -0.04 x_{28} & +  0.57 x_{1} & -0.02 x_{30} & -0.02 x_{21} & +  0.03 x_{32} & +  0.03 x_{23} & +  0.05 x_{17} & -0.03 x_{24} & -0.05 x_{18} & +  0.11 x_{2} & -0.05 x_{31} & +  1.70 x_{10} & -0.09 x_{8} & -0.82 x_{14} & -0.10 x_{29}\\
 x_{12}   &  1.51299994052 & -0.06 x_{28} & +  0.30 x_{1} & -0.01 x_{30} & -0.04 x_{21} & +  0.02 x_{32} & +  0.08 x_{23} & +  0.11 x_{17} & -0.03 x_{24} & -0.14 x_{18} & -0.23 x_{2} & -0.04 x_{31} & +  1.40 x_{10} & +  0.08 x_{8} & -1.96 x_{14} & -0.12 x_{29}\\
 x_{3}   &  1.61627585586 & -0.01 x_{28} & +  0.57 x_{1} & -0.01 x_{30} & -0.00 x_{21} & +  0.03 x_{32} & +  0.03 x_{23} & +  0.09 x_{17} & -0.07 x_{24} & -0.10 x_{18} & +  0.17 x_{2} & -0.01 x_{31} & +  0.59 x_{10} & +  1.18 x_{8} & -1.23 x_{14} & -0.04 x_{29}\\
 x_{7}   &  1.03298277031 & -0.04 x_{28} & +  1.53 x_{1} & -0.07 x_{30} & +  0.02 x_{21} & +  0.02 x_{32} & +  0.03 x_{23} & -0.01 x_{17} & +  0.01 x_{24} & -0.05 x_{18} & +  0.33 x_{2} & -0.04 x_{31} & +  2.05 x_{10} & -0.32 x_{8} & -1.11 x_{14} & -0.11 x_{29}\\
 x_{6}   &  0.545156286143 & -0.07 x_{28} & +  0.39 x_{1} & -0.01 x_{30} & +  0.00 x_{21} & +  0.01 x_{32} & +  0.07 x_{23} & +  0.09 x_{17} & -0.03 x_{24} & -0.08 x_{18} & +  0.19 x_{2} & -0.01 x_{31} & +  2.13 x_{10} & +  0.44 x_{8} & -1.09 x_{14} & -0.12 x_{29}\\
\hline
z    &  25.3054364118 & -0.30 x_{28} & -4.13 x_{1} & +  0.09 x_{30} & -0.47 x_{21} & +  0.20 x_{32} & +  0.50 x_{23} & +  0.21 x_{17} & -0.27 x_{24} & -0.75 x_{18} & -9.40 x_{2} & -0.34 x_{31} & -0.44 x_{10} & -4.71 x_{8} & -4.50 x_{14} & -0.63 x_{29}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.56378766014 & +  0.04 x_{28} & -1.61 x_{1} & +  0.06 x_{30} & +  0.00 x_{21} & -0.04 x_{32} & -0.02 x_{23} & -0.01 x_{25} & -0.04 x_{24} & +  0.04 x_{18} & +  0.21 x_{2} & +  0.01 x_{31} & -1.70 x_{10} & +  0.45 x_{8} & +  1.29 x_{14} & +  0.13 x_{29}\\
 x_{11}   &  1.97802779226 & +  0.04 x_{28} & +  0.60 x_{1} & -0.00 x_{30} & +  0.03 x_{21} & -0.02 x_{32} & -0.05 x_{23} & -0.14 x_{25} & +  0.08 x_{24} & -0.01 x_{18} & -1.14 x_{2} & +  0.00 x_{31} & +  0.74 x_{10} & -0.93 x_{8} & -0.75 x_{14} & -0.07 x_{29}\\
 x_{15}   &  2.73200296442 & +  0.02 x_{28} & +  0.93 x_{1} & -0.05 x_{30} & +  0.03 x_{21} & +  0.02 x_{32} & +  0.03 x_{23} & -0.07 x_{25} & +  0.07 x_{24} & +  0.01 x_{18} & -0.55 x_{2} & -0.05 x_{31} & +  2.20 x_{10} & -0.76 x_{8} & -1.52 x_{14} & -0.07 x_{29}\\
 x_{19}   &  43.5899438003 & +  0.87 x_{28} & +  0.84 x_{1} & -0.38 x_{30} & +  0.27 x_{21} & -0.44 x_{32} & -0.76 x_{23} & -2.15 x_{25} & +  0.86 x_{24} & +  0.63 x_{18} & -14.34 x_{2} & +  0.58 x_{31} & +  0.28 x_{10} & -12.18 x_{8} & -8.25 x_{14} & +  0.33 x_{29}\\
 x_{20}   &  0.982292408336 & -0.15 x_{28} & -9.09 x_{1} & -0.13 x_{30} & +  0.47 x_{21} & -0.71 x_{32} & -0.62 x_{23} & +  0.73 x_{25} & -0.35 x_{24} & +  1.34 x_{18} & + 10.90 x_{2} & +  0.31 x_{31} & + 13.93 x_{10} & + 19.71 x_{8} & + 22.27 x_{14} & -0.05 x_{29}\\
 x_{4}   &  2.6270084871 & +  0.02 x_{28} & +  0.28 x_{1} & -0.06 x_{30} & +  0.02 x_{21} & -0.04 x_{32} & +  0.02 x_{23} & -0.04 x_{25} & +  0.03 x_{24} & +  0.03 x_{18} & +  0.04 x_{2} & -0.02 x_{31} & +  1.73 x_{10} & -0.27 x_{8} & -0.30 x_{14} & -0.07 x_{29}\\
 x_{22}   &  12.4251341107 & +  0.41 x_{28} & -6.19 x_{1} & +  0.10 x_{30} & +  0.48 x_{21} & -0.18 x_{32} & -0.82 x_{23} & +  0.07 x_{25} & +  0.62 x_{24} & +  1.63 x_{18} & +  8.73 x_{2} & -0.04 x_{31} & +  4.91 x_{10} & +  8.09 x_{8} & + 11.56 x_{14} & +  0.39 x_{29}\\
 x_{16}   &  10.5382110936 & +  0.43 x_{28} & -24.68 x_{1} & +  0.62 x_{30} & +  0.10 x_{21} & +  0.24 x_{32} & +  0.11 x_{23} & +  0.54 x_{25} & -0.82 x_{24} & +  0.57 x_{18} & -4.13 x_{2} & +  0.32 x_{31} & -13.23 x_{10} & + 14.60 x_{8} & + 21.85 x_{14} & +  2.15 x_{29}\\
 x_{13}   &  0.613667390022 & -0.05 x_{28} & +  0.52 x_{1} & +  0.02 x_{30} & -0.05 x_{21} & +  0.05 x_{32} & +  0.05 x_{23} & -0.01 x_{25} & -0.01 x_{24} & -0.12 x_{18} & -1.43 x_{2} & -0.02 x_{31} & +  0.59 x_{10} & -1.19 x_{8} & -0.98 x_{14} & -0.14 x_{29}\\
 x_{17}   &  7.65101930352 & +  0.58 x_{28} & +  4.01 x_{1} & -0.43 x_{30} & +  0.32 x_{21} & -0.08 x_{32} & -0.60 x_{23} & -1.34 x_{25} & +  1.28 x_{24} & +  0.88 x_{18} & -12.26 x_{2} & +  0.19 x_{31} & +  1.88 x_{10} & -14.26 x_{8} & +  0.11 x_{14} & +  0.39 x_{29}\\
 x_{26}   &  11.1444320198 & +  0.86 x_{28} & -14.67 x_{1} & +  1.51 x_{30} & -0.24 x_{21} & -0.46 x_{32} & -1.14 x_{23} & +  0.32 x_{25} & -0.97 x_{24} & +  0.31 x_{18} & +  3.91 x_{2} & +  0.97 x_{31} & -54.09 x_{10} & +  6.07 x_{8} & + 26.97 x_{14} & +  1.85 x_{29}\\
 x_{27}   &  46.8025536563 & -0.18 x_{28} & -20.91 x_{1} & +  1.40 x_{30} & -1.15 x_{21} & +  0.41 x_{32} & -0.03 x_{23} & +  0.81 x_{25} & -0.55 x_{24} & -1.10 x_{18} & -13.61 x_{2} & +  0.44 x_{31} & -52.18 x_{10} & -9.59 x_{8} & +  5.15 x_{14} & +  0.82 x_{29}\\
 x_{9}   &  3.05536475236 & -0.01 x_{28} & +  0.79 x_{1} & -0.04 x_{30} & -0.00 x_{21} & +  0.03 x_{32} & +  0.00 x_{23} & -0.07 x_{25} & +  0.04 x_{24} & +  0.00 x_{18} & -0.54 x_{2} & -0.04 x_{31} & +  1.80 x_{10} & -0.85 x_{8} & -0.82 x_{14} & -0.08 x_{29}\\
 x_{12}   &  2.38628503555 & +  0.01 x_{28} & +  0.75 x_{1} & -0.06 x_{30} & -0.01 x_{21} & +  0.01 x_{32} & +  0.01 x_{23} & -0.15 x_{25} & +  0.11 x_{24} & -0.04 x_{18} & -1.63 x_{2} & -0.02 x_{31} & +  1.61 x_{10} & -1.55 x_{8} & -1.95 x_{14} & -0.08 x_{29}\\
 x_{3}   &  2.29870831995 & +  0.05 x_{28} & +  0.93 x_{1} & -0.05 x_{30} & +  0.03 x_{21} & +  0.03 x_{32} & -0.02 x_{23} & -0.12 x_{25} & +  0.05 x_{24} & -0.02 x_{18} & -0.92 x_{2} & +  0.01 x_{31} & +  0.75 x_{10} & -0.10 x_{8} & -1.22 x_{14} & -0.01 x_{29}\\
 x_{7}   &  0.962045976855 & -0.05 x_{28} & +  1.49 x_{1} & -0.07 x_{30} & +  0.02 x_{21} & +  0.02 x_{32} & +  0.04 x_{23} & +  0.01 x_{25} & -0.01 x_{24} & -0.06 x_{18} & +  0.44 x_{2} & -0.04 x_{31} & +  2.03 x_{10} & -0.19 x_{8} & -1.11 x_{14} & -0.11 x_{29}\\
 x_{6}   &  1.24708811268 & -0.02 x_{28} & +  0.75 x_{1} & -0.05 x_{30} & +  0.03 x_{21} & +  0.01 x_{32} & +  0.01 x_{23} & -0.12 x_{25} & +  0.09 x_{24} & -0.00 x_{18} & -0.93 x_{2} & +  0.01 x_{31} & +  2.30 x_{10} & -0.87 x_{8} & -1.08 x_{14} & -0.09 x_{29}\\
\hline
z    &  26.8748363241 & -0.18 x_{28} & -3.31 x_{1} & +  0.01 x_{30} & -0.40 x_{21} & +  0.18 x_{32} & +  0.38 x_{23} & -0.27 x_{25} & -0.01 x_{24} & -0.57 x_{18} & -11.91 x_{2} & -0.30 x_{31} & -0.05 x_{10} & -7.64 x_{8} & -4.47 x_{14} & -0.55 x_{29}\\
\end{array}\]


 $ x_{23} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.53185104974 & +  0.05 x_{28} & -1.31 x_{1} & +  0.06 x_{30} & -0.01 x_{21} & -0.02 x_{32} & +  0.03 x_{20} & -0.03 x_{25} & -0.03 x_{24} & +  0.00 x_{18} & -0.15 x_{2} & +  0.00 x_{31} & -2.15 x_{10} & -0.19 x_{8} & +  0.57 x_{14} & +  0.13 x_{29}\\
 x_{11}   &  1.90028645248 & +  0.05 x_{28} & +  1.32 x_{1} & +  0.01 x_{30} & -0.00 x_{21} & +  0.04 x_{32} & +  0.08 x_{20} & -0.20 x_{25} & +  0.11 x_{24} & -0.12 x_{18} & -2.00 x_{2} & -0.02 x_{31} & -0.36 x_{10} & -2.49 x_{8} & -2.51 x_{14} & -0.07 x_{29}\\
 x_{15}   &  2.783026543 & +  0.01 x_{28} & +  0.46 x_{1} & -0.06 x_{30} & +  0.05 x_{21} & -0.02 x_{32} & -0.05 x_{20} & -0.03 x_{25} & +  0.05 x_{24} & +  0.07 x_{18} & +  0.02 x_{2} & -0.03 x_{31} & +  2.93 x_{10} & +  0.26 x_{8} & -0.37 x_{14} & -0.08 x_{29}\\
 x_{19}   &  42.397559115 & +  1.05 x_{28} & + 11.88 x_{1} & -0.23 x_{30} & -0.30 x_{21} & +  0.42 x_{32} & +  1.21 x_{20} & -3.04 x_{25} & +  1.28 x_{24} & -1.00 x_{18} & -27.57 x_{2} & +  0.20 x_{31} & -16.62 x_{10} & -36.11 x_{8} & -35.28 x_{14} & +  0.38 x_{29}\\
 x_{23}   &  1.57585903352 & -0.24 x_{28} & -14.58 x_{1} & -0.20 x_{30} & +  0.76 x_{21} & -1.14 x_{32} & -1.60 x_{20} & +  1.17 x_{25} & -0.55 x_{24} & +  2.15 x_{18} & + 17.48 x_{2} & +  0.49 x_{31} & + 22.34 x_{10} & + 31.62 x_{8} & + 35.72 x_{14} & -0.07 x_{29}\\
 x_{4}   &  2.66117151023 & +  0.01 x_{28} & -0.04 x_{1} & -0.06 x_{30} & +  0.04 x_{21} & -0.06 x_{32} & -0.03 x_{20} & -0.01 x_{25} & +  0.01 x_{24} & +  0.07 x_{18} & +  0.42 x_{2} & -0.01 x_{31} & +  2.21 x_{10} & +  0.42 x_{8} & +  0.47 x_{14} & -0.07 x_{29}\\
 x_{22}   &  11.12820365 & +  0.61 x_{28} & +  5.81 x_{1} & +  0.27 x_{30} & -0.14 x_{21} & +  0.75 x_{32} & +  1.32 x_{20} & -0.89 x_{25} & +  1.08 x_{24} & -0.14 x_{18} & -5.65 x_{2} & -0.45 x_{31} & -13.47 x_{10} & -17.93 x_{8} & -17.84 x_{14} & +  0.46 x_{29}\\
 x_{16}   &  10.712425249 & +  0.40 x_{28} & -26.29 x_{1} & +  0.60 x_{30} & +  0.18 x_{21} & +  0.12 x_{32} & -0.18 x_{20} & +  0.67 x_{25} & -0.88 x_{24} & +  0.81 x_{18} & -2.20 x_{2} & +  0.37 x_{31} & -10.76 x_{10} & + 18.10 x_{8} & + 25.80 x_{14} & +  2.14 x_{29}\\
 x_{13}   &  0.689982844708 & -0.06 x_{28} & -0.18 x_{1} & +  0.01 x_{30} & -0.02 x_{21} & -0.01 x_{32} & -0.08 x_{20} & +  0.05 x_{25} & -0.03 x_{24} & -0.01 x_{18} & -0.58 x_{2} & +  0.01 x_{31} & +  1.67 x_{10} & +  0.35 x_{8} & +  0.75 x_{14} & -0.14 x_{29}\\
 x_{17}   &  6.70707902149 & +  0.72 x_{28} & + 12.74 x_{1} & -0.31 x_{30} & -0.13 x_{21} & +  0.60 x_{32} & +  0.96 x_{20} & -2.04 x_{25} & +  1.61 x_{24} & -0.41 x_{18} & -22.73 x_{2} & -0.11 x_{31} & -11.50 x_{10} & -33.20 x_{8} & -21.28 x_{14} & +  0.43 x_{29}\\
 x_{26}   &  9.35435940767 & +  1.13 x_{28} & +  1.89 x_{1} & +  1.75 x_{30} & -1.10 x_{21} & +  0.83 x_{32} & +  1.82 x_{20} & -1.01 x_{25} & -0.34 x_{24} & -2.14 x_{18} & -15.95 x_{2} & +  0.41 x_{31} & -79.47 x_{10} & -29.85 x_{8} & -13.61 x_{14} & +  1.94 x_{29}\\
 x_{27}   &  46.7521220301 & -0.17 x_{28} & -20.45 x_{1} & +  1.40 x_{30} & -1.18 x_{21} & +  0.45 x_{32} & +  0.05 x_{20} & +  0.77 x_{25} & -0.53 x_{24} & -1.17 x_{18} & -14.17 x_{2} & +  0.42 x_{31} & -52.89 x_{10} & -10.60 x_{8} & +  4.01 x_{14} & +  0.82 x_{29}\\
 x_{9}   &  3.05880467286 & -0.01 x_{28} & +  0.75 x_{1} & -0.04 x_{30} & -0.00 x_{21} & +  0.02 x_{32} & -0.00 x_{20} & -0.07 x_{25} & +  0.04 x_{24} & +  0.01 x_{18} & -0.50 x_{2} & -0.04 x_{31} & +  1.85 x_{10} & -0.78 x_{8} & -0.74 x_{14} & -0.08 x_{29}\\
 x_{12}   &  2.40826722194 & +  0.01 x_{28} & +  0.55 x_{1} & -0.06 x_{30} & +  0.00 x_{21} & -0.00 x_{32} & -0.02 x_{20} & -0.14 x_{25} & +  0.10 x_{24} & -0.01 x_{18} & -1.39 x_{2} & -0.01 x_{31} & +  1.93 x_{10} & -1.11 x_{8} & -1.45 x_{14} & -0.08 x_{29}\\
 x_{3}   &  2.2661912373 & +  0.05 x_{28} & +  1.23 x_{1} & -0.04 x_{30} & +  0.01 x_{21} & +  0.05 x_{32} & +  0.03 x_{20} & -0.14 x_{25} & +  0.06 x_{24} & -0.07 x_{18} & -1.28 x_{2} & -0.00 x_{31} & +  0.29 x_{10} & -0.75 x_{8} & -1.95 x_{14} & -0.01 x_{29}\\
 x_{7}   &  1.02284136615 & -0.06 x_{28} & +  0.93 x_{1} & -0.07 x_{30} & +  0.05 x_{21} & -0.03 x_{32} & -0.06 x_{20} & +  0.06 x_{25} & -0.03 x_{24} & +  0.03 x_{18} & +  1.11 x_{2} & -0.02 x_{31} & +  2.90 x_{10} & +  1.03 x_{8} & +  0.27 x_{14} & -0.11 x_{29}\\
 x_{6}   &  1.26501983647 & -0.02 x_{28} & +  0.59 x_{1} & -0.05 x_{30} & +  0.04 x_{21} & -0.01 x_{32} & -0.02 x_{20} & -0.11 x_{25} & +  0.08 x_{24} & +  0.02 x_{18} & -0.74 x_{2} & +  0.01 x_{31} & +  2.55 x_{10} & -0.51 x_{8} & -0.67 x_{14} & -0.09 x_{29}\\
\hline
z    &  27.47401039 & -0.27 x_{28} & -8.85 x_{1} & -0.07 x_{30} & -0.12 x_{21} & -0.25 x_{32} & -0.61 x_{20} & +  0.17 x_{25} & -0.22 x_{24} & +  0.25 x_{18} & -5.27 x_{2} & -0.11 x_{31} & +  8.44 x_{10} & +  4.38 x_{8} & +  9.11 x_{14} & -0.58 x_{29}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.49332603162 & +  0.04 x_{28} & -1.38 x_{1} & +  0.07 x_{30} & -0.01 x_{21} & -0.02 x_{32} & +  0.03 x_{20} & -0.02 x_{25} & -0.04 x_{24} & +  0.00 x_{18} & -0.02 x_{2} & +  0.00 x_{31} & -2.09 x_{10} & +  0.01 x_{17} & +  0.69 x_{14} & +  0.13 x_{29}\\
 x_{11}   &  1.39827318981 & -0.00 x_{28} & +  0.37 x_{1} & +  0.03 x_{30} & +  0.01 x_{21} & -0.01 x_{32} & +  0.01 x_{20} & -0.04 x_{25} & -0.01 x_{24} & -0.09 x_{18} & -0.30 x_{2} & -0.01 x_{31} & +  0.50 x_{10} & +  0.07 x_{17} & -0.92 x_{14} & -0.10 x_{29}\\
 x_{15}   &  2.83603961188 & +  0.02 x_{28} & +  0.56 x_{1} & -0.06 x_{30} & +  0.05 x_{21} & -0.02 x_{32} & -0.04 x_{20} & -0.05 x_{25} & +  0.07 x_{24} & +  0.07 x_{18} & -0.16 x_{2} & -0.03 x_{31} & +  2.84 x_{10} & -0.01 x_{17} & -0.54 x_{14} & -0.07 x_{29}\\
 x_{19}   &  35.1037600184 & +  0.27 x_{28} & -1.98 x_{1} & +  0.11 x_{30} & -0.16 x_{21} & -0.23 x_{32} & +  0.17 x_{20} & -0.82 x_{25} & -0.47 x_{24} & -0.55 x_{18} & -2.85 x_{2} & +  0.32 x_{31} & -4.12 x_{10} & +  1.09 x_{17} & -12.13 x_{14} & -0.09 x_{29}\\
 x_{23}   &  7.96275145806 & +  0.45 x_{28} & -2.45 x_{1} & -0.50 x_{30} & +  0.63 x_{21} & -0.57 x_{32} & -0.69 x_{20} & -0.77 x_{25} & +  0.98 x_{24} & +  1.76 x_{18} & -4.16 x_{2} & +  0.39 x_{31} & + 11.39 x_{10} & -0.95 x_{17} & + 15.46 x_{14} & +  0.34 x_{29}\\
 x_{4}   &  2.74522772952 & +  0.02 x_{28} & +  0.12 x_{1} & -0.07 x_{30} & +  0.03 x_{21} & -0.06 x_{32} & -0.02 x_{20} & -0.04 x_{25} & +  0.03 x_{24} & +  0.07 x_{18} & +  0.13 x_{2} & -0.01 x_{31} & +  2.07 x_{10} & -0.01 x_{17} & +  0.21 x_{14} & -0.07 x_{29}\\
 x_{22}   &  7.50686458181 & +  0.22 x_{28} & -1.07 x_{1} & +  0.43 x_{30} & -0.07 x_{21} & +  0.43 x_{32} & +  0.80 x_{20} & +  0.21 x_{25} & +  0.21 x_{24} & +  0.08 x_{18} & +  6.62 x_{2} & -0.39 x_{31} & -7.26 x_{10} & +  0.54 x_{17} & -6.34 x_{14} & +  0.22 x_{29}\\
 x_{16}   &  14.3685404831 & +  0.79 x_{28} & -19.34 x_{1} & +  0.43 x_{30} & +  0.11 x_{21} & +  0.44 x_{32} & +  0.35 x_{20} & -0.44 x_{25} & -0.00 x_{24} & +  0.59 x_{18} & -14.59 x_{2} & +  0.31 x_{31} & -17.03 x_{10} & -0.55 x_{17} & + 14.19 x_{14} & +  2.38 x_{29}\\
 x_{13}   &  0.759797058892 & -0.05 x_{28} & -0.05 x_{1} & +  0.01 x_{30} & -0.02 x_{21} & -0.00 x_{32} & -0.07 x_{20} & +  0.03 x_{25} & -0.02 x_{24} & -0.02 x_{18} & -0.82 x_{2} & +  0.01 x_{31} & +  1.55 x_{10} & -0.01 x_{17} & +  0.53 x_{14} & -0.14 x_{29}\\
 x_{8}   &  0.202001429031 & +  0.02 x_{28} & +  0.38 x_{1} & -0.01 x_{30} & -0.00 x_{21} & +  0.02 x_{32} & +  0.03 x_{20} & -0.06 x_{25} & +  0.05 x_{24} & -0.01 x_{18} & -0.68 x_{2} & -0.00 x_{31} & -0.35 x_{10} & -0.03 x_{17} & -0.64 x_{14} & +  0.01 x_{29}\\
 x_{26}   &  3.32442725906 & +  0.48 x_{28} & -9.56 x_{1} & +  2.02 x_{30} & -0.98 x_{21} & +  0.29 x_{32} & +  0.96 x_{20} & +  0.82 x_{25} & -1.79 x_{24} & -1.77 x_{18} & +  4.49 x_{2} & +  0.51 x_{31} & -69.13 x_{10} & +  0.90 x_{17} & +  5.53 x_{14} & +  1.55 x_{29}\\
 x_{27}   &  44.6110234383 & -0.40 x_{28} & -24.51 x_{1} & +  1.50 x_{30} & -1.14 x_{21} & +  0.26 x_{32} & -0.26 x_{20} & +  1.42 x_{25} & -1.05 x_{24} & -1.04 x_{18} & -6.91 x_{2} & +  0.46 x_{31} & -49.22 x_{10} & +  0.32 x_{17} & + 10.80 x_{14} & +  0.69 x_{29}\\
 x_{9}   &  2.90105188692 & -0.03 x_{28} & +  0.45 x_{1} & -0.04 x_{30} & +  0.00 x_{21} & +  0.01 x_{32} & -0.03 x_{20} & -0.02 x_{25} & +  0.00 x_{24} & +  0.02 x_{18} & +  0.03 x_{2} & -0.03 x_{31} & +  2.12 x_{10} & +  0.02 x_{17} & -0.24 x_{14} & -0.09 x_{29}\\
 x_{12}   &  2.18439712433 & -0.02 x_{28} & +  0.13 x_{1} & -0.05 x_{30} & +  0.01 x_{21} & -0.02 x_{32} & -0.05 x_{20} & -0.07 x_{25} & +  0.05 x_{24} & +  0.00 x_{18} & -0.63 x_{2} & -0.01 x_{31} & +  2.31 x_{10} & +  0.03 x_{17} & -0.74 x_{14} & -0.09 x_{29}\\
 x_{3}   &  2.11486705244 & +  0.03 x_{28} & +  0.94 x_{1} & -0.03 x_{30} & +  0.01 x_{21} & +  0.04 x_{32} & +  0.01 x_{20} & -0.10 x_{25} & +  0.02 x_{24} & -0.06 x_{18} & -0.77 x_{2} & +  0.00 x_{31} & +  0.55 x_{10} & +  0.02 x_{17} & -1.47 x_{14} & -0.02 x_{29}\\
 x_{7}   &  1.23088641871 & -0.04 x_{28} & +  1.32 x_{1} & -0.08 x_{30} & +  0.05 x_{21} & -0.01 x_{32} & -0.03 x_{20} & -0.01 x_{25} & +  0.02 x_{24} & +  0.01 x_{18} & +  0.41 x_{2} & -0.02 x_{31} & +  2.54 x_{10} & -0.03 x_{17} & -0.39 x_{14} & -0.10 x_{29}\\
 x_{6}   &  1.16128180518 & -0.03 x_{28} & +  0.39 x_{1} & -0.05 x_{30} & +  0.04 x_{21} & -0.02 x_{32} & -0.03 x_{20} & -0.08 x_{25} & +  0.06 x_{24} & +  0.03 x_{18} & -0.38 x_{2} & +  0.01 x_{31} & +  2.73 x_{10} & +  0.02 x_{17} & -0.34 x_{14} & -0.10 x_{29}\\
\hline
z    &  28.3591735429 & -0.18 x_{28} & -7.17 x_{1} & -0.11 x_{30} & -0.13 x_{21} & -0.17 x_{32} & -0.48 x_{20} & -0.10 x_{25} & -0.01 x_{24} & +  0.20 x_{18} & -8.27 x_{2} & -0.13 x_{31} & +  6.93 x_{10} & -0.13 x_{17} & +  6.30 x_{14} & -0.53 x_{29}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{26} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.39296715497 & +  0.03 x_{28} & -1.10 x_{1} & +  0.00 x_{30} & +  0.02 x_{21} & -0.03 x_{32} & -0.00 x_{20} & -0.05 x_{25} & +  0.01 x_{24} & +  0.06 x_{18} & -0.15 x_{2} & -0.01 x_{31} & +  0.03 x_{26} & -0.02 x_{17} & +  0.53 x_{14} & +  0.08 x_{29}\\
 x_{11}   &  1.4223891368 & +  0.00 x_{28} & +  0.30 x_{1} & +  0.04 x_{30} & -0.00 x_{21} & -0.01 x_{32} & +  0.01 x_{20} & -0.04 x_{25} & -0.02 x_{24} & -0.10 x_{18} & -0.27 x_{2} & -0.01 x_{31} & -0.01 x_{26} & +  0.08 x_{17} & -0.88 x_{14} & -0.09 x_{29}\\
 x_{15}   &  2.97241505685 & +  0.04 x_{28} & +  0.17 x_{1} & +  0.02 x_{30} & +  0.01 x_{21} & -0.00 x_{32} & -0.01 x_{20} & -0.02 x_{25} & -0.01 x_{24} & -0.00 x_{18} & +  0.02 x_{2} & -0.01 x_{31} & -0.04 x_{26} & +  0.03 x_{17} & -0.31 x_{14} & -0.01 x_{29}\\
 x_{19}   &  34.9057157979 & +  0.24 x_{28} & -1.41 x_{1} & -0.01 x_{30} & -0.10 x_{21} & -0.25 x_{32} & +  0.11 x_{20} & -0.87 x_{25} & -0.36 x_{24} & -0.45 x_{18} & -3.12 x_{2} & +  0.29 x_{31} & +  0.06 x_{26} & +  1.03 x_{17} & -12.46 x_{14} & -0.18 x_{29}\\
 x_{23}   &  8.51052185972 & +  0.53 x_{28} & -4.02 x_{1} & -0.16 x_{30} & +  0.47 x_{21} & -0.52 x_{32} & -0.53 x_{20} & -0.63 x_{25} & +  0.68 x_{24} & +  1.47 x_{18} & -3.42 x_{2} & +  0.48 x_{31} & -0.16 x_{26} & -0.80 x_{17} & + 16.37 x_{14} & +  0.59 x_{29}\\
 x_{4}   &  2.84479430061 & +  0.03 x_{28} & -0.17 x_{1} & -0.01 x_{30} & +  0.01 x_{21} & -0.05 x_{32} & +  0.01 x_{20} & -0.01 x_{25} & -0.02 x_{24} & +  0.02 x_{18} & +  0.27 x_{2} & +  0.01 x_{31} & -0.03 x_{26} & +  0.01 x_{17} & +  0.37 x_{14} & -0.02 x_{29}\\
 x_{22}   &  7.15753588583 & +  0.17 x_{28} & -0.07 x_{1} & +  0.22 x_{30} & +  0.03 x_{21} & +  0.40 x_{32} & +  0.70 x_{20} & +  0.12 x_{25} & +  0.40 x_{24} & +  0.27 x_{18} & +  6.15 x_{2} & -0.44 x_{31} & +  0.11 x_{26} & +  0.45 x_{17} & -6.92 x_{14} & +  0.06 x_{29}\\
 x_{16}   &  13.5494399334 & +  0.68 x_{28} & -16.99 x_{1} & -0.07 x_{30} & +  0.35 x_{21} & +  0.37 x_{32} & +  0.11 x_{20} & -0.64 x_{25} & +  0.44 x_{24} & +  1.02 x_{18} & -15.69 x_{2} & +  0.19 x_{31} & +  0.25 x_{26} & -0.77 x_{17} & + 12.83 x_{14} & +  2.00 x_{29}\\
 x_{13}   &  0.834524535611 & -0.04 x_{28} & -0.27 x_{1} & +  0.05 x_{30} & -0.04 x_{21} & +  0.01 x_{32} & -0.05 x_{20} & +  0.05 x_{25} & -0.06 x_{24} & -0.06 x_{18} & -0.72 x_{2} & +  0.02 x_{31} & -0.02 x_{26} & +  0.01 x_{17} & +  0.66 x_{14} & -0.10 x_{29}\\
 x_{8}   &  0.185344231988 & +  0.02 x_{28} & +  0.43 x_{1} & -0.02 x_{30} & +  0.00 x_{21} & +  0.02 x_{32} & +  0.02 x_{20} & -0.07 x_{25} & +  0.06 x_{24} & -0.00 x_{18} & -0.71 x_{2} & -0.01 x_{31} & +  0.01 x_{26} & -0.03 x_{17} & -0.67 x_{14} & +  0.01 x_{29}\\
 x_{10}   &  0.0480909315928 & +  0.01 x_{28} & -0.14 x_{1} & +  0.03 x_{30} & -0.01 x_{21} & +  0.00 x_{32} & +  0.01 x_{20} & +  0.01 x_{25} & -0.03 x_{24} & -0.03 x_{18} & +  0.06 x_{2} & +  0.01 x_{31} & -0.01 x_{26} & +  0.01 x_{17} & +  0.08 x_{14} & +  0.02 x_{29}\\
 x_{27}   &  42.2438327141 & -0.74 x_{28} & -17.70 x_{1} & +  0.06 x_{30} & -0.44 x_{21} & +  0.05 x_{32} & -0.94 x_{20} & +  0.84 x_{25} & +  0.22 x_{24} & +  0.22 x_{18} & -10.11 x_{2} & +  0.10 x_{31} & +  0.71 x_{26} & -0.32 x_{17} & +  6.87 x_{14} & -0.42 x_{29}\\
 x_{9}   &  3.00310586272 & -0.01 x_{28} & +  0.16 x_{1} & +  0.02 x_{30} & -0.03 x_{21} & +  0.02 x_{32} & +  0.00 x_{20} & +  0.00 x_{25} & -0.05 x_{24} & -0.04 x_{18} & +  0.17 x_{2} & -0.02 x_{31} & -0.03 x_{26} & +  0.05 x_{17} & -0.07 x_{14} & -0.04 x_{29}\\
 x_{12}   &  2.29545465293 & -0.00 x_{28} & -0.19 x_{1} & +  0.01 x_{30} & -0.02 x_{21} & -0.01 x_{32} & -0.02 x_{20} & -0.04 x_{25} & -0.01 x_{24} & -0.06 x_{18} & -0.48 x_{2} & +  0.01 x_{31} & -0.03 x_{26} & +  0.06 x_{17} & -0.55 x_{14} & -0.04 x_{29}\\
 x_{3}   &  2.14140586282 & +  0.04 x_{28} & +  0.87 x_{1} & -0.02 x_{30} & +  0.00 x_{21} & +  0.04 x_{32} & +  0.02 x_{20} & -0.09 x_{25} & +  0.01 x_{24} & -0.07 x_{18} & -0.73 x_{2} & +  0.00 x_{31} & -0.01 x_{26} & +  0.03 x_{17} & -1.43 x_{14} & -0.01 x_{29}\\
 x_{7}   &  1.35302338359 & -0.02 x_{28} & +  0.97 x_{1} & -0.01 x_{30} & +  0.01 x_{21} & +  0.00 x_{32} & +  0.00 x_{20} & +  0.02 x_{25} & -0.04 x_{24} & -0.05 x_{18} & +  0.57 x_{2} & -0.00 x_{31} & -0.04 x_{26} & +  0.00 x_{17} & -0.19 x_{14} & -0.04 x_{29}\\
 x_{6}   &  1.29262570031 & -0.01 x_{28} & +  0.01 x_{1} & +  0.03 x_{30} & +  0.00 x_{21} & -0.01 x_{32} & +  0.00 x_{20} & -0.05 x_{25} & -0.01 x_{24} & -0.04 x_{18} & -0.21 x_{2} & +  0.03 x_{31} & -0.04 x_{26} & +  0.05 x_{17} & -0.13 x_{14} & -0.03 x_{29}\\
\hline
z    &  28.692243451 & -0.13 x_{28} & -8.13 x_{1} & +  0.09 x_{30} & -0.23 x_{21} & -0.15 x_{32} & -0.39 x_{20} & -0.02 x_{25} & -0.18 x_{24} & +  0.02 x_{18} & -7.82 x_{2} & -0.08 x_{31} & -0.10 x_{26} & -0.04 x_{17} & +  6.85 x_{14} & -0.37 x_{29}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.53866139876 & +  0.04 x_{28} & -0.76 x_{1} & -0.01 x_{30} & +  0.02 x_{21} & -0.02 x_{32} & +  0.02 x_{20} & -0.10 x_{25} & +  0.06 x_{24} & +  0.05 x_{18} & -0.71 x_{2} & -0.02 x_{31} & +  0.03 x_{26} & -0.05 x_{17} & -0.79 x_{8} & +  0.09 x_{29}\\
 x_{11}   &  1.1796287099 & -0.02 x_{28} & -0.27 x_{1} & +  0.07 x_{30} & -0.00 x_{21} & -0.03 x_{32} & -0.02 x_{20} & +  0.05 x_{25} & -0.10 x_{24} & -0.09 x_{18} & +  0.66 x_{2} & -0.00 x_{31} & -0.01 x_{26} & +  0.13 x_{17} & +  1.31 x_{8} & -0.10 x_{29}\\
 x_{15}   &  2.88658683901 & +  0.03 x_{28} & -0.03 x_{1} & +  0.03 x_{30} & +  0.01 x_{21} & -0.01 x_{32} & -0.02 x_{20} & +  0.01 x_{25} & -0.03 x_{24} & +  0.00 x_{18} & +  0.35 x_{2} & -0.01 x_{31} & -0.04 x_{26} & +  0.05 x_{17} & +  0.46 x_{8} & -0.01 x_{29}\\
 x_{19}   &  31.4516597223 & -0.12 x_{28} & -9.45 x_{1} & +  0.35 x_{30} & -0.12 x_{21} & -0.55 x_{32} & -0.34 x_{20} & +  0.35 x_{25} & -1.43 x_{24} & -0.38 x_{18} & + 10.06 x_{2} & +  0.40 x_{31} & -0.03 x_{26} & +  1.68 x_{17} & + 18.64 x_{8} & -0.28 x_{29}\\
 x_{23}   &  13.046479847 & +  1.00 x_{28} & +  6.54 x_{1} & -0.64 x_{30} & +  0.49 x_{21} & -0.12 x_{32} & +  0.06 x_{20} & -2.23 x_{25} & +  2.09 x_{24} & +  1.38 x_{18} & -20.73 x_{2} & +  0.34 x_{31} & -0.04 x_{26} & -1.65 x_{17} & -24.47 x_{8} & +  0.72 x_{29}\\
 x_{4}   &  2.94782269869 & +  0.05 x_{28} & +  0.07 x_{1} & -0.02 x_{30} & +  0.01 x_{21} & -0.04 x_{32} & +  0.02 x_{20} & -0.05 x_{25} & +  0.01 x_{24} & +  0.01 x_{18} & -0.12 x_{2} & +  0.00 x_{31} & -0.03 x_{26} & -0.00 x_{17} & -0.56 x_{8} & -0.02 x_{29}\\
 x_{22}   &  5.23837421071 & -0.03 x_{28} & -4.54 x_{1} & +  0.42 x_{30} & +  0.03 x_{21} & +  0.23 x_{32} & +  0.45 x_{20} & +  0.80 x_{25} & -0.20 x_{24} & +  0.30 x_{18} & + 13.47 x_{2} & -0.38 x_{31} & +  0.05 x_{26} & +  0.80 x_{17} & + 10.35 x_{8} & +  0.01 x_{29}\\
 x_{16}   &  17.1060737542 & +  1.05 x_{28} & -8.71 x_{1} & -0.44 x_{30} & +  0.37 x_{21} & +  0.69 x_{32} & +  0.57 x_{20} & -1.90 x_{25} & +  1.54 x_{24} & +  0.95 x_{18} & -29.26 x_{2} & +  0.08 x_{31} & +  0.34 x_{26} & -1.43 x_{17} & -19.19 x_{8} & +  2.10 x_{29}\\
 x_{13}   &  1.01673281459 & -0.02 x_{28} & +  0.16 x_{1} & +  0.04 x_{30} & -0.04 x_{21} & +  0.02 x_{32} & -0.02 x_{20} & -0.02 x_{25} & -0.00 x_{24} & -0.06 x_{18} & -1.41 x_{2} & +  0.01 x_{31} & -0.02 x_{26} & -0.02 x_{17} & -0.98 x_{8} & -0.10 x_{29}\\
 x_{14}   &  0.277156704637 & +  0.03 x_{28} & +  0.65 x_{1} & -0.03 x_{30} & +  0.00 x_{21} & +  0.02 x_{32} & +  0.04 x_{20} & -0.10 x_{25} & +  0.09 x_{24} & -0.01 x_{18} & -1.06 x_{2} & -0.01 x_{31} & +  0.01 x_{26} & -0.05 x_{17} & -1.50 x_{8} & +  0.01 x_{29}\\
 x_{10}   &  0.070255009729 & +  0.01 x_{28} & -0.09 x_{1} & +  0.03 x_{30} & -0.01 x_{21} & +  0.01 x_{32} & +  0.02 x_{20} & +  0.00 x_{25} & -0.02 x_{24} & -0.03 x_{18} & -0.02 x_{2} & +  0.01 x_{31} & -0.01 x_{26} & +  0.01 x_{17} & -0.12 x_{8} & +  0.02 x_{29}\\
 x_{27}   &  44.1473449613 & -0.55 x_{28} & -13.27 x_{1} & -0.14 x_{30} & -0.43 x_{21} & +  0.22 x_{32} & -0.69 x_{20} & +  0.17 x_{25} & +  0.82 x_{24} & +  0.18 x_{18} & -17.37 x_{2} & +  0.04 x_{31} & +  0.76 x_{26} & -0.68 x_{17} & -10.27 x_{8} & -0.36 x_{29}\\
 x_{9}   &  2.9840236744 & -0.01 x_{28} & +  0.12 x_{1} & +  0.03 x_{30} & -0.03 x_{21} & +  0.02 x_{32} & +  0.00 x_{20} & +  0.01 x_{25} & -0.06 x_{24} & -0.04 x_{18} & +  0.24 x_{2} & -0.02 x_{31} & -0.03 x_{26} & +  0.05 x_{17} & +  0.10 x_{8} & -0.04 x_{29}\\
 x_{12}   &  2.1425602977 & -0.02 x_{28} & -0.55 x_{1} & +  0.03 x_{30} & -0.02 x_{21} & -0.03 x_{32} & -0.04 x_{20} & +  0.01 x_{25} & -0.06 x_{24} & -0.06 x_{18} & +  0.11 x_{2} & +  0.01 x_{31} & -0.04 x_{26} & +  0.09 x_{17} & +  0.82 x_{8} & -0.05 x_{29}\\
 x_{3}   &  1.74551871967 & -0.00 x_{28} & -0.05 x_{1} & +  0.02 x_{30} & +  0.00 x_{21} & +  0.00 x_{32} & -0.03 x_{20} & +  0.05 x_{25} & -0.11 x_{24} & -0.06 x_{18} & +  0.78 x_{2} & +  0.02 x_{31} & -0.02 x_{26} & +  0.10 x_{17} & +  2.14 x_{8} & -0.02 x_{29}\\
 x_{7}   &  1.30048849202 & -0.02 x_{28} & +  0.85 x_{1} & -0.00 x_{30} & +  0.01 x_{21} & -0.00 x_{32} & -0.00 x_{20} & +  0.04 x_{25} & -0.06 x_{24} & -0.05 x_{18} & +  0.77 x_{2} & -0.00 x_{31} & -0.04 x_{26} & +  0.01 x_{17} & +  0.28 x_{8} & -0.04 x_{29}\\
 x_{6}   &  1.25765379053 & -0.02 x_{28} & -0.07 x_{1} & +  0.03 x_{30} & +  0.00 x_{21} & -0.01 x_{32} & +  0.00 x_{20} & -0.03 x_{25} & -0.03 x_{24} & -0.04 x_{18} & -0.07 x_{2} & +  0.03 x_{31} & -0.04 x_{26} & +  0.06 x_{17} & +  0.19 x_{8} & -0.04 x_{29}\\
\hline
z    &  30.5918877128 & +  0.07 x_{28} & -3.70 x_{1} & -0.11 x_{30} & -0.22 x_{21} & +  0.02 x_{32} & -0.14 x_{20} & -0.69 x_{25} & +  0.40 x_{24} & -0.02 x_{18} & -15.06 x_{2} & -0.13 x_{31} & -0.05 x_{26} & -0.40 x_{17} & -10.25 x_{8} & -0.32 x_{29}\\
\end{array}\]


 $ x_{24} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.75761215832 & +  0.07 x_{28} & -1.03 x_{1} & +  0.07 x_{30} & -0.02 x_{21} & +  0.00 x_{32} & +  0.07 x_{20} & -0.09 x_{25} & -3.12 x_{10} & -0.03 x_{18} & -0.77 x_{2} & +  0.00 x_{31} & -0.01 x_{26} & -0.02 x_{17} & -1.16 x_{8} & +  0.16 x_{29}\\
 x_{11}   &  0.816052414777 & -0.07 x_{28} & +  0.18 x_{1} & -0.07 x_{30} & +  0.07 x_{21} & -0.06 x_{32} & -0.10 x_{20} & +  0.03 x_{25} & +  5.18 x_{10} & +  0.04 x_{18} & +  0.76 x_{2} & -0.04 x_{31} & +  0.06 x_{26} & +  0.08 x_{17} & +  1.93 x_{8} & -0.22 x_{29}\\
 x_{15}   &  2.76374844781 & +  0.01 x_{28} & +  0.12 x_{1} & -0.02 x_{30} & +  0.03 x_{21} & -0.02 x_{32} & -0.05 x_{20} & +  0.01 x_{25} & +  1.75 x_{10} & +  0.05 x_{18} & +  0.38 x_{2} & -0.02 x_{31} & -0.02 x_{26} & +  0.03 x_{17} & +  0.67 x_{8} & -0.05 x_{29}\\
 x_{19}   &  26.1456334891 & -0.83 x_{28} & -2.90 x_{1} & -1.69 x_{30} & +  0.95 x_{21} & -1.02 x_{32} & -1.60 x_{20} & +  0.04 x_{25} & + 75.53 x_{10} & +  1.58 x_{18} & + 11.54 x_{2} & -0.11 x_{31} & +  1.01 x_{26} & +  1.01 x_{17} & + 27.67 x_{8} & -2.01 x_{29}\\
 x_{23}   &  20.7831318506 & +  2.03 x_{28} & -3.01 x_{1} & +  2.33 x_{30} & -1.06 x_{21} & +  0.56 x_{32} & +  1.90 x_{20} & -1.79 x_{25} & -110.12 x_{10} & -1.48 x_{18} & -22.89 x_{2} & +  1.07 x_{31} & -1.57 x_{26} & -0.68 x_{17} & -37.64 x_{8} & +  3.26 x_{29}\\
 x_{4}   &  2.99682586109 & +  0.05 x_{28} & +  0.01 x_{1} & +  0.00 x_{30} & -0.00 x_{21} & -0.03 x_{32} & +  0.03 x_{20} & -0.05 x_{25} & -0.70 x_{10} & -0.00 x_{18} & -0.14 x_{2} & +  0.01 x_{31} & -0.04 x_{26} & +  0.00 x_{17} & -0.64 x_{8} & -0.00 x_{29}\\
 x_{22}   &  4.5041808658 & -0.13 x_{28} & -3.63 x_{1} & +  0.14 x_{30} & +  0.17 x_{21} & +  0.16 x_{32} & +  0.28 x_{20} & +  0.76 x_{25} & + 10.45 x_{10} & +  0.57 x_{18} & + 13.67 x_{2} & -0.45 x_{31} & +  0.20 x_{26} & +  0.71 x_{17} & + 11.60 x_{8} & -0.23 x_{29}\\
 x_{16}   &  22.8126822287 & +  1.80 x_{28} & -15.75 x_{1} & +  1.75 x_{30} & -0.77 x_{21} & +  1.19 x_{32} & +  1.93 x_{20} & -1.57 x_{25} & -81.23 x_{10} & -1.16 x_{18} & -30.85 x_{2} & +  0.62 x_{31} & -0.78 x_{26} & -0.71 x_{17} & -28.90 x_{8} & +  3.97 x_{29}\\
 x_{13}   &  1.01173532955 & -0.02 x_{28} & +  0.17 x_{1} & +  0.03 x_{30} & -0.04 x_{21} & +  0.02 x_{32} & -0.02 x_{20} & -0.02 x_{25} & +  0.07 x_{10} & -0.06 x_{18} & -1.41 x_{2} & +  0.01 x_{31} & -0.02 x_{26} & -0.02 x_{17} & -0.97 x_{8} & -0.10 x_{29}\\
 x_{14}   &  0.595102541063 & +  0.07 x_{28} & +  0.25 x_{1} & +  0.09 x_{30} & -0.06 x_{21} & +  0.05 x_{32} & +  0.11 x_{20} & -0.08 x_{25} & -4.53 x_{10} & -0.12 x_{18} & -1.15 x_{2} & +  0.02 x_{31} & -0.06 x_{26} & -0.01 x_{17} & -2.04 x_{8} & +  0.11 x_{29}\\
 x_{24}   &  3.69838565915 & +  0.49 x_{28} & -4.56 x_{1} & +  1.42 x_{30} & -0.74 x_{21} & +  0.32 x_{32} & +  0.88 x_{20} & +  0.21 x_{25} & -52.64 x_{10} & -1.37 x_{18} & -1.03 x_{2} & +  0.35 x_{31} & -0.73 x_{26} & +  0.47 x_{17} & -6.30 x_{8} & +  1.21 x_{29}\\
 x_{27}   &  47.1617820612 & -0.15 x_{28} & -16.99 x_{1} & +  1.02 x_{30} & -1.03 x_{21} & +  0.49 x_{32} & +  0.03 x_{20} & +  0.34 x_{25} & -42.91 x_{10} & -0.93 x_{18} & -18.21 x_{2} & +  0.32 x_{31} & +  0.17 x_{26} & -0.30 x_{17} & -15.40 x_{8} & +  0.63 x_{29}\\
 x_{9}   &  2.76086427803 & -0.04 x_{28} & +  0.39 x_{1} & -0.06 x_{30} & +  0.01 x_{21} & -0.00 x_{32} & -0.05 x_{20} & -0.00 x_{25} & +  3.18 x_{10} & +  0.04 x_{18} & +  0.30 x_{2} & -0.04 x_{31} & +  0.01 x_{26} & +  0.03 x_{17} & +  0.48 x_{8} & -0.11 x_{29}\\
 x_{12}   &  1.93195692751 & -0.05 x_{28} & -0.29 x_{1} & -0.05 x_{30} & +  0.02 x_{21} & -0.05 x_{32} & -0.09 x_{20} & +  0.00 x_{25} & +  3.00 x_{10} & +  0.02 x_{18} & +  0.16 x_{2} & -0.01 x_{31} & +  0.00 x_{26} & +  0.07 x_{17} & +  1.18 x_{8} & -0.11 x_{29}\\
 x_{3}   &  1.32330826155 & -0.06 x_{28} & +  0.47 x_{1} & -0.14 x_{30} & +  0.09 x_{21} & -0.03 x_{32} & -0.13 x_{20} & +  0.02 x_{25} & +  6.01 x_{10} & +  0.09 x_{18} & +  0.89 x_{2} & -0.02 x_{31} & +  0.06 x_{26} & +  0.05 x_{17} & +  2.85 x_{8} & -0.15 x_{29}\\
 x_{7}   &  1.08394749448 & -0.05 x_{28} & +  1.12 x_{1} & -0.09 x_{30} & +  0.05 x_{21} & -0.02 x_{32} & -0.06 x_{20} & +  0.03 x_{25} & +  3.08 x_{10} & +  0.03 x_{18} & +  0.83 x_{2} & -0.02 x_{31} & +  0.00 x_{26} & -0.02 x_{17} & +  0.65 x_{8} & -0.11 x_{29}\\
 x_{6}   &  1.16394909823 & -0.03 x_{28} & +  0.05 x_{1} & -0.00 x_{30} & +  0.02 x_{21} & -0.02 x_{32} & -0.02 x_{20} & -0.04 x_{25} & +  1.33 x_{10} & -0.00 x_{18} & -0.05 x_{2} & +  0.03 x_{31} & -0.02 x_{26} & +  0.05 x_{17} & +  0.35 x_{8} & -0.07 x_{29}\\
\hline
z    &  32.0872129753 & +  0.27 x_{28} & -5.55 x_{1} & +  0.47 x_{30} & -0.52 x_{21} & +  0.15 x_{32} & +  0.22 x_{20} & -0.60 x_{25} & -21.28 x_{10} & -0.57 x_{18} & -15.48 x_{2} & +  0.01 x_{31} & -0.34 x_{26} & -0.21 x_{17} & -12.79 x_{8} & +  0.17 x_{29}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  3.3002060052 & +  0.03 x_{28} & -0.91 x_{1} & +  0.03 x_{30} & +  0.02 x_{21} & -0.04 x_{32} & -0.66 x_{11} & -0.07 x_{25} & +  0.32 x_{10} & -0.00 x_{18} & -0.26 x_{2} & -0.02 x_{31} & +  0.03 x_{26} & +  0.03 x_{17} & +  0.12 x_{8} & +  0.02 x_{29}\\
 x_{20}   &  7.83642268879 & -0.68 x_{28} & +  1.74 x_{1} & -0.67 x_{30} & +  0.67 x_{21} & -0.57 x_{32} & -9.60 x_{11} & +  0.25 x_{25} & + 49.70 x_{10} & +  0.38 x_{18} & +  7.32 x_{2} & -0.36 x_{31} & +  0.56 x_{26} & +  0.78 x_{17} & + 18.52 x_{8} & -2.07 x_{29}\\
 x_{15}   &  2.40720016191 & +  0.05 x_{28} & +  0.04 x_{1} & +  0.01 x_{30} & +  0.00 x_{21} & +  0.00 x_{32} & +  0.44 x_{11} & -0.01 x_{25} & -0.51 x_{10} & +  0.03 x_{18} & +  0.05 x_{2} & -0.00 x_{31} & -0.04 x_{26} & -0.01 x_{17} & -0.17 x_{8} & +  0.04 x_{29}\\
 x_{19}   &  13.582182663 & +  0.27 x_{28} & -5.70 x_{1} & -0.62 x_{30} & -0.13 x_{21} & -0.11 x_{32} & + 15.40 x_{11} & -0.36 x_{25} & -4.15 x_{10} & +  0.97 x_{18} & -0.20 x_{2} & +  0.47 x_{31} & +  0.12 x_{26} & -0.23 x_{17} & -2.02 x_{8} & +  1.31 x_{29}\\
 x_{23}   &  35.7048904916 & +  0.73 x_{28} & +  0.31 x_{1} & +  1.06 x_{30} & +  0.22 x_{21} & -0.52 x_{32} & -18.29 x_{11} & -1.31 x_{25} & -15.49 x_{10} & -0.76 x_{18} & -8.94 x_{2} & +  0.39 x_{31} & -0.51 x_{26} & +  0.80 x_{17} & -2.38 x_{8} & -0.69 x_{29}\\
 x_{4}   &  3.24031066695 & +  0.03 x_{28} & +  0.07 x_{1} & -0.02 x_{30} & +  0.02 x_{21} & -0.05 x_{32} & -0.30 x_{11} & -0.04 x_{25} & +  0.85 x_{10} & +  0.01 x_{18} & +  0.09 x_{2} & -0.00 x_{31} & -0.02 x_{26} & +  0.03 x_{17} & -0.06 x_{8} & -0.07 x_{29}\\
 x_{22}   &  6.6650353492 & -0.32 x_{28} & -3.15 x_{1} & -0.04 x_{30} & +  0.36 x_{21} & +  0.01 x_{32} & -2.65 x_{11} & +  0.83 x_{25} & + 24.15 x_{10} & +  0.68 x_{18} & + 15.69 x_{2} & -0.55 x_{31} & +  0.35 x_{26} & +  0.93 x_{17} & + 16.71 x_{8} & -0.81 x_{29}\\
 x_{16}   &  37.969773948 & +  0.48 x_{28} & -12.38 x_{1} & +  0.46 x_{30} & +  0.52 x_{21} & +  0.09 x_{32} & -18.57 x_{11} & -1.08 x_{25} & + 14.89 x_{10} & -0.42 x_{18} & -16.69 x_{2} & -0.07 x_{31} & +  0.29 x_{26} & +  0.79 x_{17} & +  6.92 x_{8} & -0.04 x_{29}\\
 x_{13}   &  0.826751665794 & -0.01 x_{28} & +  0.12 x_{1} & +  0.05 x_{30} & -0.05 x_{21} & +  0.03 x_{32} & +  0.23 x_{11} & -0.02 x_{25} & -1.10 x_{10} & -0.07 x_{18} & -1.58 x_{2} & +  0.02 x_{31} & -0.03 x_{26} & -0.04 x_{17} & -1.41 x_{8} & -0.05 x_{29}\\
 x_{14}   &  1.47203950551 & -0.01 x_{28} & +  0.45 x_{1} & +  0.02 x_{30} & +  0.01 x_{21} & -0.01 x_{32} & -1.07 x_{11} & -0.05 x_{25} & +  1.04 x_{10} & -0.08 x_{18} & -0.33 x_{2} & -0.02 x_{31} & +  0.01 x_{26} & +  0.08 x_{17} & +  0.04 x_{8} & -0.12 x_{29}\\
 x_{24}   &  10.6085881045 & -0.11 x_{28} & -3.03 x_{1} & +  0.83 x_{30} & -0.15 x_{21} & -0.18 x_{32} & -8.47 x_{11} & +  0.43 x_{25} & -8.82 x_{10} & -1.03 x_{18} & +  5.42 x_{2} & +  0.03 x_{31} & -0.24 x_{26} & +  1.15 x_{17} & + 10.04 x_{8} & -0.61 x_{29}\\
 x_{27}   &  47.3873434204 & -0.17 x_{28} & -16.94 x_{1} & +  1.00 x_{30} & -1.01 x_{21} & +  0.47 x_{32} & -0.28 x_{11} & +  0.35 x_{25} & -41.48 x_{10} & -0.92 x_{18} & -18.00 x_{2} & +  0.31 x_{31} & +  0.18 x_{26} & -0.27 x_{17} & -14.87 x_{8} & +  0.57 x_{29}\\
 x_{9}   &  2.35042493076 & -0.01 x_{28} & +  0.30 x_{1} & -0.02 x_{30} & -0.02 x_{21} & +  0.03 x_{32} & +  0.50 x_{11} & -0.01 x_{25} & +  0.57 x_{10} & +  0.02 x_{18} & -0.08 x_{2} & -0.02 x_{31} & -0.02 x_{26} & -0.01 x_{17} & -0.49 x_{8} & -0.01 x_{29}\\
 x_{12}   &  1.20658681162 & +  0.02 x_{28} & -0.45 x_{1} & +  0.01 x_{30} & -0.04 x_{21} & +  0.01 x_{32} & +  0.89 x_{11} & -0.02 x_{25} & -1.60 x_{10} & -0.01 x_{18} & -0.51 x_{2} & +  0.03 x_{31} & -0.05 x_{26} & -0.01 x_{17} & -0.53 x_{8} & +  0.08 x_{29}\\
 x_{3}   &  0.27984495234 & +  0.03 x_{28} & +  0.23 x_{1} & -0.05 x_{30} & -0.00 x_{21} & +  0.04 x_{32} & +  1.28 x_{11} & -0.01 x_{25} & -0.61 x_{10} & +  0.04 x_{18} & -0.08 x_{2} & +  0.02 x_{31} & -0.01 x_{26} & -0.05 x_{17} & +  0.39 x_{8} & +  0.12 x_{29}\\
 x_{7}   &  0.650242540322 & -0.01 x_{28} & +  1.02 x_{1} & -0.05 x_{30} & +  0.02 x_{21} & +  0.01 x_{32} & +  0.53 x_{11} & +  0.02 x_{25} & +  0.33 x_{10} & +  0.01 x_{18} & +  0.43 x_{2} & -0.00 x_{31} & -0.03 x_{26} & -0.06 x_{17} & -0.37 x_{8} & +  0.00 x_{29}\\
 x_{6}   &  0.990375890157 & -0.01 x_{28} & +  0.01 x_{1} & +  0.01 x_{30} & +  0.01 x_{21} & -0.00 x_{32} & +  0.21 x_{11} & -0.04 x_{25} & +  0.23 x_{10} & -0.01 x_{18} & -0.21 x_{2} & +  0.03 x_{31} & -0.03 x_{26} & +  0.03 x_{17} & -0.06 x_{8} & -0.02 x_{29}\\
\hline
z    &  33.7862398742 & +  0.12 x_{28} & -5.17 x_{1} & +  0.32 x_{30} & -0.38 x_{21} & +  0.03 x_{32} & -2.08 x_{11} & -0.55 x_{25} & -10.51 x_{10} & -0.49 x_{18} & -13.89 x_{2} & -0.07 x_{31} & -0.22 x_{26} & -0.04 x_{17} & -8.78 x_{8} & -0.28 x_{29}\\
\end{array}\]


 $ x_{28} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  3.59002194183 & -0.04 x_{20} & -0.84 x_{1} & +  0.00 x_{30} & +  0.05 x_{21} & -0.06 x_{32} & -1.02 x_{11} & -0.06 x_{25} & +  2.16 x_{10} & +  0.01 x_{18} & +  0.01 x_{2} & -0.03 x_{31} & +  0.05 x_{26} & +  0.06 x_{17} & +  0.81 x_{8} & -0.06 x_{29}\\
 x_{28}   &  11.4565027384 & -1.46 x_{20} & +  2.55 x_{1} & -0.98 x_{30} & +  0.98 x_{21} & -0.83 x_{32} & -14.04 x_{11} & +  0.37 x_{25} & + 72.65 x_{10} & +  0.56 x_{18} & + 10.71 x_{2} & -0.52 x_{31} & +  0.81 x_{26} & +  1.13 x_{17} & + 27.08 x_{8} & -3.03 x_{29}\\
 x_{15}   &  2.93176933425 & -0.07 x_{20} & +  0.16 x_{1} & -0.03 x_{30} & +  0.05 x_{21} & -0.04 x_{32} & -0.21 x_{11} & +  0.01 x_{25} & +  2.81 x_{10} & +  0.05 x_{18} & +  0.54 x_{2} & -0.03 x_{31} & -0.01 x_{26} & +  0.05 x_{17} & +  1.07 x_{8} & -0.10 x_{29}\\
 x_{19}   &  16.6700171428 & -0.39 x_{20} & -5.01 x_{1} & -0.88 x_{30} & +  0.13 x_{21} & -0.33 x_{32} & + 11.61 x_{11} & -0.26 x_{25} & + 15.43 x_{10} & +  1.12 x_{18} & +  2.68 x_{2} & +  0.33 x_{31} & +  0.34 x_{26} & +  0.07 x_{17} & +  5.27 x_{8} & +  0.49 x_{29}\\
 x_{23}   &  44.0326375787 & -1.06 x_{20} & +  2.16 x_{1} & +  0.35 x_{30} & +  0.93 x_{21} & -1.13 x_{32} & -28.49 x_{11} & -1.05 x_{25} & + 37.32 x_{10} & -0.35 x_{18} & -1.16 x_{2} & +  0.01 x_{31} & +  0.08 x_{26} & +  1.63 x_{17} & + 17.31 x_{8} & -2.89 x_{29}\\
 x_{4}   &  3.59244385643 & -0.04 x_{20} & +  0.15 x_{1} & -0.05 x_{30} & +  0.05 x_{21} & -0.08 x_{32} & -0.73 x_{11} & -0.03 x_{25} & +  3.08 x_{10} & +  0.03 x_{18} & +  0.42 x_{2} & -0.02 x_{31} & +  0.01 x_{26} & +  0.06 x_{17} & +  0.77 x_{8} & -0.16 x_{29}\\
 x_{22}   &  3.03348310559 & +  0.46 x_{20} & -3.96 x_{1} & +  0.27 x_{30} & +  0.05 x_{21} & +  0.27 x_{32} & +  1.80 x_{11} & +  0.71 x_{25} & +  1.12 x_{10} & +  0.50 x_{18} & + 12.30 x_{2} & -0.39 x_{31} & +  0.09 x_{26} & +  0.57 x_{17} & +  8.13 x_{8} & +  0.15 x_{29}\\
 x_{16}   &  43.4754308493 & -0.70 x_{20} & -11.16 x_{1} & -0.01 x_{30} & +  1.00 x_{21} & -0.31 x_{32} & -25.32 x_{11} & -0.91 x_{25} & + 49.81 x_{10} & -0.15 x_{18} & -11.55 x_{2} & -0.33 x_{31} & +  0.68 x_{26} & +  1.34 x_{17} & + 19.93 x_{8} & -1.49 x_{29}\\
 x_{13}   &  0.748260870757 & +  0.01 x_{20} & +  0.11 x_{1} & +  0.06 x_{30} & -0.06 x_{21} & +  0.04 x_{32} & +  0.32 x_{11} & -0.02 x_{25} & -1.60 x_{10} & -0.07 x_{18} & -1.66 x_{2} & +  0.02 x_{31} & -0.04 x_{26} & -0.05 x_{17} & -1.60 x_{8} & -0.03 x_{29}\\
 x_{14}   &  1.40960331202 & +  0.01 x_{20} & +  0.43 x_{1} & +  0.02 x_{30} & +  0.01 x_{21} & -0.01 x_{32} & -1.00 x_{11} & -0.05 x_{25} & +  0.64 x_{10} & -0.08 x_{18} & -0.38 x_{2} & -0.02 x_{31} & +  0.00 x_{26} & +  0.07 x_{17} & -0.11 x_{8} & -0.10 x_{29}\\
 x_{24}   &  9.31539298898 & +  0.17 x_{20} & -3.31 x_{1} & +  0.94 x_{30} & -0.26 x_{21} & -0.08 x_{32} & -6.88 x_{11} & +  0.39 x_{25} & -17.02 x_{10} & -1.10 x_{18} & +  4.22 x_{2} & +  0.09 x_{31} & -0.33 x_{26} & +  1.02 x_{17} & +  6.98 x_{8} & -0.27 x_{29}\\
 x_{27}   &  45.4888712904 & +  0.24 x_{20} & -17.36 x_{1} & +  1.16 x_{30} & -1.17 x_{21} & +  0.61 x_{32} & +  2.05 x_{11} & +  0.29 x_{25} & -53.52 x_{10} & -1.02 x_{18} & -19.77 x_{2} & +  0.40 x_{31} & +  0.05 x_{26} & -0.46 x_{17} & -19.35 x_{8} & +  1.07 x_{29}\\
 x_{9}   &  2.27738745179 & +  0.01 x_{20} & +  0.28 x_{1} & -0.02 x_{30} & -0.03 x_{21} & +  0.03 x_{32} & +  0.59 x_{11} & -0.02 x_{25} & +  0.11 x_{10} & +  0.02 x_{18} & -0.15 x_{2} & -0.02 x_{31} & -0.02 x_{26} & -0.02 x_{17} & -0.66 x_{8} & +  0.01 x_{29}\\
 x_{12}   &  1.413476882 & -0.03 x_{20} & -0.41 x_{1} & -0.01 x_{30} & -0.03 x_{21} & -0.01 x_{32} & +  0.64 x_{11} & -0.02 x_{25} & -0.29 x_{10} & -0.00 x_{18} & -0.32 x_{2} & +  0.02 x_{31} & -0.03 x_{26} & +  0.01 x_{17} & -0.04 x_{8} & +  0.02 x_{29}\\
 x_{3}   &  0.643724108081 & -0.05 x_{20} & +  0.32 x_{1} & -0.08 x_{30} & +  0.03 x_{21} & +  0.01 x_{32} & +  0.83 x_{11} & +  0.00 x_{25} & +  1.70 x_{10} & +  0.06 x_{18} & +  0.26 x_{2} & +  0.01 x_{31} & +  0.02 x_{26} & -0.02 x_{17} & +  1.25 x_{8} & +  0.02 x_{29}\\
 x_{7}   &  0.480916295148 & +  0.02 x_{20} & +  0.98 x_{1} & -0.04 x_{30} & +  0.00 x_{21} & +  0.02 x_{32} & +  0.74 x_{11} & +  0.01 x_{25} & -0.74 x_{10} & +  0.00 x_{18} & +  0.27 x_{2} & +  0.00 x_{31} & -0.04 x_{26} & -0.08 x_{17} & -0.77 x_{8} & +  0.05 x_{29}\\
 x_{6}   &  0.841488800663 & +  0.02 x_{20} & -0.03 x_{1} & +  0.02 x_{30} & -0.00 x_{21} & +  0.01 x_{32} & +  0.40 x_{11} & -0.05 x_{25} & -0.71 x_{10} & -0.02 x_{18} & -0.35 x_{2} & +  0.04 x_{31} & -0.04 x_{26} & +  0.01 x_{17} & -0.41 x_{8} & +  0.02 x_{29}\\
\hline
z    &  35.1533270707 & -0.17 x_{20} & -4.87 x_{1} & +  0.20 x_{30} & -0.26 x_{21} & -0.07 x_{32} & -3.76 x_{11} & -0.50 x_{25} & -1.84 x_{10} & -0.42 x_{18} & -12.62 x_{2} & -0.13 x_{31} & -0.13 x_{26} & +  0.10 x_{17} & -5.55 x_{8} & -0.64 x_{29}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  3.98297927131 & -0.02 x_{20} & -0.04 x_{1} & -0.03 x_{30} & +  0.05 x_{21} & -0.04 x_{32} & -0.42 x_{11} & -0.05 x_{25} & +  1.56 x_{10} & +  0.01 x_{18} & +  0.23 x_{2} & -0.03 x_{31} & +  0.02 x_{26} & -0.82 x_{7} & +  0.18 x_{8} & -0.02 x_{29}\\
 x_{28}   &  18.710819683 & -1.14 x_{20} & + 17.35 x_{1} & -1.52 x_{30} & +  0.99 x_{21} & -0.50 x_{32} & -2.89 x_{11} & +  0.54 x_{25} & + 61.46 x_{10} & +  0.58 x_{18} & + 14.79 x_{2} & -0.46 x_{31} & +  0.24 x_{26} & -15.08 x_{7} & + 15.41 x_{8} & -2.34 x_{29}\\
 x_{15}   &  3.22678234938 & -0.05 x_{20} & +  0.76 x_{1} & -0.05 x_{30} & +  0.05 x_{21} & -0.02 x_{32} & +  0.25 x_{11} & +  0.02 x_{25} & +  2.36 x_{10} & +  0.05 x_{18} & +  0.71 x_{2} & -0.03 x_{31} & -0.03 x_{26} & -0.61 x_{7} & +  0.59 x_{8} & -0.07 x_{29}\\
 x_{19}   &  17.1233495934 & -0.37 x_{20} & -4.09 x_{1} & -0.91 x_{30} & +  0.14 x_{21} & -0.31 x_{32} & + 12.31 x_{11} & -0.25 x_{25} & + 14.74 x_{10} & +  1.12 x_{18} & +  2.94 x_{2} & +  0.33 x_{31} & +  0.30 x_{26} & -0.94 x_{7} & +  4.54 x_{8} & +  0.53 x_{29}\\
 x_{23}   &  54.4385356408 & -0.60 x_{20} & + 23.39 x_{1} & -0.44 x_{30} & +  0.95 x_{21} & -0.65 x_{32} & -12.50 x_{11} & -0.80 x_{25} & + 21.26 x_{10} & -0.33 x_{18} & +  4.70 x_{2} & +  0.10 x_{31} & -0.75 x_{26} & -21.64 x_{7} & +  0.58 x_{8} & -1.91 x_{29}\\
 x_{4}   &  3.97810369961 & -0.03 x_{20} & +  0.93 x_{1} & -0.08 x_{30} & +  0.05 x_{21} & -0.06 x_{32} & -0.14 x_{11} & -0.02 x_{25} & +  2.48 x_{10} & +  0.03 x_{18} & +  0.64 x_{2} & -0.02 x_{31} & -0.03 x_{26} & -0.80 x_{7} & +  0.15 x_{8} & -0.12 x_{29}\\
 x_{22}   &  6.64895850371 & +  0.63 x_{20} & +  3.42 x_{1} & -0.01 x_{30} & +  0.05 x_{21} & +  0.44 x_{32} & +  7.36 x_{11} & +  0.79 x_{25} & -4.45 x_{10} & +  0.51 x_{18} & + 14.34 x_{2} & -0.35 x_{31} & -0.19 x_{26} & -7.52 x_{7} & +  2.32 x_{8} & +  0.50 x_{29}\\
 x_{16}   &  52.015020832 & -0.32 x_{20} & +  6.27 x_{1} & -0.65 x_{30} & +  1.01 x_{21} & +  0.08 x_{32} & -12.20 x_{11} & -0.71 x_{25} & + 36.63 x_{10} & -0.13 x_{18} & -6.73 x_{2} & -0.25 x_{31} & +  0.00 x_{26} & -17.76 x_{7} & +  6.20 x_{8} & -0.69 x_{29}\\
 x_{13}   &  0.422475020205 & -0.00 x_{20} & -0.56 x_{1} & +  0.08 x_{30} & -0.06 x_{21} & +  0.03 x_{32} & -0.18 x_{11} & -0.03 x_{25} & -1.10 x_{10} & -0.07 x_{18} & -1.84 x_{2} & +  0.02 x_{31} & -0.01 x_{26} & +  0.68 x_{7} & -1.07 x_{8} & -0.06 x_{29}\\
 x_{14}   &  1.85086561005 & +  0.03 x_{20} & +  1.33 x_{1} & -0.01 x_{30} & +  0.01 x_{21} & +  0.01 x_{32} & -0.32 x_{11} & -0.04 x_{25} & -0.04 x_{10} & -0.08 x_{18} & -0.14 x_{2} & -0.01 x_{31} & -0.03 x_{26} & -0.92 x_{7} & -0.82 x_{8} & -0.06 x_{29}\\
 x_{24}   &  15.8551720478 & +  0.46 x_{20} & + 10.03 x_{1} & +  0.45 x_{30} & -0.25 x_{21} & +  0.22 x_{32} & +  3.17 x_{11} & +  0.55 x_{25} & -27.11 x_{10} & -1.08 x_{18} & +  7.90 x_{2} & +  0.15 x_{31} & -0.85 x_{26} & -13.60 x_{7} & -3.53 x_{8} & +  0.34 x_{29}\\
 x_{27}   &  42.5366577157 & +  0.11 x_{20} & -23.39 x_{1} & +  1.38 x_{30} & -1.18 x_{21} & +  0.47 x_{32} & -2.49 x_{11} & +  0.22 x_{25} & -48.96 x_{10} & -1.02 x_{18} & -21.44 x_{2} & +  0.37 x_{31} & +  0.28 x_{26} & +  6.14 x_{7} & -14.61 x_{8} & +  0.79 x_{29}\\
 x_{9}   &  2.14079112573 & +  0.00 x_{20} & +  0.01 x_{1} & -0.01 x_{30} & -0.03 x_{21} & +  0.03 x_{32} & +  0.38 x_{11} & -0.02 x_{25} & +  0.32 x_{10} & +  0.02 x_{18} & -0.23 x_{2} & -0.02 x_{31} & -0.01 x_{26} & +  0.28 x_{7} & -0.44 x_{8} & +  0.00 x_{29}\\
 x_{12}   &  1.50319525873 & -0.02 x_{20} & -0.22 x_{1} & -0.01 x_{30} & -0.03 x_{21} & -0.00 x_{32} & +  0.77 x_{11} & -0.01 x_{25} & -0.43 x_{10} & -0.00 x_{18} & -0.27 x_{2} & +  0.02 x_{31} & -0.04 x_{26} & -0.19 x_{7} & -0.19 x_{8} & +  0.03 x_{29}\\
 x_{3}   &  0.53565322482 & -0.05 x_{20} & +  0.09 x_{1} & -0.07 x_{30} & +  0.03 x_{21} & +  0.01 x_{32} & +  0.67 x_{11} & +  0.00 x_{25} & +  1.87 x_{10} & +  0.06 x_{18} & +  0.20 x_{2} & +  0.01 x_{31} & +  0.02 x_{26} & +  0.22 x_{7} & +  1.42 x_{8} & +  0.01 x_{29}\\
 x_{17}   &  6.39203073632 & +  0.29 x_{20} & + 13.04 x_{1} & -0.48 x_{30} & +  0.01 x_{21} & +  0.29 x_{32} & +  9.82 x_{11} & +  0.15 x_{25} & -9.86 x_{10} & +  0.02 x_{18} & +  3.60 x_{2} & +  0.06 x_{31} & -0.51 x_{26} & -13.29 x_{7} & -10.28 x_{8} & +  0.60 x_{29}\\
 x_{6}   &  0.929391751622 & +  0.02 x_{20} & +  0.15 x_{1} & +  0.02 x_{30} & -0.00 x_{21} & +  0.01 x_{32} & +  0.53 x_{11} & -0.05 x_{25} & -0.85 x_{10} & -0.02 x_{18} & -0.30 x_{2} & +  0.04 x_{31} & -0.05 x_{26} & -0.18 x_{7} & -0.56 x_{8} & +  0.03 x_{29}\\
\hline
z    &  35.76484479 & -0.15 x_{20} & -3.62 x_{1} & +  0.16 x_{30} & -0.26 x_{21} & -0.04 x_{32} & -2.82 x_{11} & -0.49 x_{25} & -2.78 x_{10} & -0.42 x_{18} & -12.27 x_{2} & -0.13 x_{31} & -0.17 x_{26} & -1.27 x_{7} & -6.53 x_{8} & -0.58 x_{29}\\
\end{array}\]


 $ x_{30} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  3.78493376115 & -0.00 x_{20} & -0.07 x_{1} & +  0.37 x_{3} & +  0.04 x_{21} & -0.04 x_{32} & -0.66 x_{11} & -0.05 x_{25} & +  0.87 x_{10} & -0.01 x_{18} & +  0.16 x_{2} & -0.03 x_{31} & +  0.01 x_{26} & -0.90 x_{7} & -0.35 x_{8} & -0.03 x_{29}\\
 x_{28}   &  7.48410068994 & -0.06 x_{20} & + 15.37 x_{1} & + 20.96 x_{3} & +  0.38 x_{21} & -0.70 x_{32} & -16.87 x_{11} & +  0.53 x_{25} & + 22.34 x_{10} & -0.68 x_{18} & + 10.65 x_{2} & -0.61 x_{31} & -0.29 x_{26} & -19.79 x_{7} & -14.40 x_{8} & -2.65 x_{29}\\
 x_{15}   &  2.8368866361 & -0.02 x_{20} & +  0.69 x_{1} & +  0.73 x_{3} & +  0.03 x_{21} & -0.03 x_{32} & -0.24 x_{11} & +  0.02 x_{25} & +  1.00 x_{10} & +  0.01 x_{18} & +  0.56 x_{2} & -0.03 x_{31} & -0.05 x_{26} & -0.78 x_{7} & -0.44 x_{8} & -0.08 x_{29}\\
 x_{19}   &  10.3911091458 & +  0.27 x_{20} & -5.27 x_{1} & + 12.57 x_{3} & -0.23 x_{21} & -0.43 x_{32} & +  3.93 x_{11} & -0.25 x_{25} & -8.73 x_{10} & +  0.37 x_{18} & +  0.45 x_{2} & +  0.24 x_{31} & -0.01 x_{26} & -3.77 x_{7} & -13.33 x_{8} & +  0.35 x_{29}\\
 x_{23}   &  51.216184436 & -0.29 x_{20} & + 22.82 x_{1} & +  6.02 x_{3} & +  0.77 x_{21} & -0.71 x_{32} & -16.51 x_{11} & -0.80 x_{25} & + 10.03 x_{10} & -0.69 x_{18} & +  3.51 x_{2} & +  0.06 x_{31} & -0.90 x_{26} & -22.99 x_{7} & -7.98 x_{8} & -2.00 x_{29}\\
 x_{4}   &  3.40116772554 & +  0.03 x_{20} & +  0.83 x_{1} & +  1.08 x_{3} & +  0.02 x_{21} & -0.07 x_{32} & -0.86 x_{11} & -0.02 x_{25} & +  0.47 x_{10} & -0.04 x_{18} & +  0.42 x_{2} & -0.02 x_{31} & -0.05 x_{26} & -1.04 x_{7} & -1.38 x_{8} & -0.14 x_{29}\\
 x_{22}   &  6.6099766305 & +  0.63 x_{20} & +  3.41 x_{1} & +  0.07 x_{3} & +  0.05 x_{21} & +  0.44 x_{32} & +  7.31 x_{11} & +  0.79 x_{25} & -4.59 x_{10} & +  0.51 x_{18} & + 14.32 x_{2} & -0.35 x_{31} & -0.20 x_{26} & -7.53 x_{7} & +  2.21 x_{8} & +  0.49 x_{29}\\
 x_{16}   &  47.1924575146 & +  0.14 x_{20} & +  5.42 x_{1} & +  9.00 x_{3} & +  0.74 x_{21} & -0.00 x_{32} & -18.20 x_{11} & -0.71 x_{25} & + 19.83 x_{10} & -0.67 x_{18} & -8.51 x_{2} & -0.31 x_{31} & -0.22 x_{26} & -19.78 x_{7} & -6.60 x_{8} & -0.82 x_{29}\\
 x_{13}   &  1.01819623981 & -0.06 x_{20} & -0.45 x_{1} & -1.11 x_{3} & -0.03 x_{21} & +  0.04 x_{32} & +  0.56 x_{11} & -0.03 x_{25} & +  0.98 x_{10} & -0.01 x_{18} & -1.62 x_{2} & +  0.03 x_{31} & +  0.02 x_{26} & +  0.93 x_{7} & +  0.51 x_{8} & -0.04 x_{29}\\
 x_{14}   &  1.77910048793 & +  0.03 x_{20} & +  1.32 x_{1} & +  0.13 x_{3} & +  0.00 x_{21} & +  0.01 x_{32} & -0.41 x_{11} & -0.04 x_{25} & -0.29 x_{10} & -0.09 x_{18} & -0.16 x_{2} & -0.01 x_{31} & -0.04 x_{26} & -0.95 x_{7} & -1.01 x_{8} & -0.06 x_{29}\\
 x_{24}   &  19.1462380012 & +  0.14 x_{20} & + 10.61 x_{1} & -6.14 x_{3} & -0.07 x_{21} & +  0.28 x_{32} & +  7.26 x_{11} & +  0.55 x_{25} & -15.64 x_{10} & -0.71 x_{18} & +  9.12 x_{2} & +  0.20 x_{31} & -0.70 x_{26} & -12.22 x_{7} & +  5.20 x_{8} & +  0.44 x_{29}\\
 x_{27}   &  52.7356846698 & -0.87 x_{20} & -21.59 x_{1} & -19.04 x_{3} & -0.63 x_{21} & +  0.66 x_{32} & + 10.21 x_{11} & +  0.22 x_{25} & -13.42 x_{10} & +  0.12 x_{18} & -17.67 x_{2} & +  0.51 x_{31} & +  0.76 x_{26} & + 10.42 x_{7} & + 12.47 x_{8} & +  1.07 x_{29}\\
 x_{9}   &  2.08885014516 & +  0.01 x_{20} & -0.00 x_{1} & +  0.10 x_{3} & -0.03 x_{21} & +  0.02 x_{32} & +  0.32 x_{11} & -0.02 x_{25} & +  0.14 x_{10} & +  0.01 x_{18} & -0.24 x_{2} & -0.02 x_{31} & -0.01 x_{26} & +  0.26 x_{7} & -0.58 x_{8} & -0.00 x_{29}\\
 x_{12}   &  1.40040175957 & -0.01 x_{20} & -0.24 x_{1} & +  0.19 x_{3} & -0.03 x_{21} & -0.01 x_{32} & +  0.65 x_{11} & -0.01 x_{25} & -0.79 x_{10} & -0.01 x_{18} & -0.31 x_{2} & +  0.02 x_{31} & -0.04 x_{26} & -0.23 x_{7} & -0.46 x_{8} & +  0.03 x_{29}\\
 x_{30}   &  7.36980419874 & -0.71 x_{20} & +  1.30 x_{1} & -13.76 x_{3} & +  0.40 x_{21} & +  0.13 x_{32} & +  9.17 x_{11} & +  0.01 x_{25} & + 25.68 x_{10} & +  0.83 x_{18} & +  2.72 x_{2} & +  0.10 x_{31} & +  0.34 x_{26} & +  3.09 x_{7} & + 19.57 x_{8} & +  0.20 x_{29}\\
 x_{17}   &  2.85045159449 & +  0.63 x_{20} & + 12.42 x_{1} & +  6.61 x_{3} & -0.18 x_{21} & +  0.23 x_{32} & +  5.41 x_{11} & +  0.15 x_{25} & -22.20 x_{10} & -0.38 x_{18} & +  2.30 x_{2} & +  0.01 x_{31} & -0.67 x_{26} & -14.78 x_{7} & -19.68 x_{8} & +  0.51 x_{29}\\
 x_{6}   &  1.06415624675 & +  0.01 x_{20} & +  0.18 x_{1} & -0.25 x_{3} & +  0.00 x_{21} & +  0.01 x_{32} & +  0.70 x_{11} & -0.05 x_{25} & -0.38 x_{10} & -0.00 x_{18} & -0.25 x_{2} & +  0.04 x_{31} & -0.05 x_{26} & -0.13 x_{7} & -0.20 x_{8} & +  0.03 x_{29}\\
\hline
z    &  36.9299299253 & -0.26 x_{20} & -3.41 x_{1} & -2.18 x_{3} & -0.19 x_{21} & -0.02 x_{32} & -1.37 x_{11} & -0.49 x_{25} & +  1.28 x_{10} & -0.29 x_{18} & -11.84 x_{2} & -0.11 x_{31} & -0.12 x_{26} & -0.78 x_{7} & -3.44 x_{8} & -0.55 x_{29}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  3.89608568422 & +  0.02 x_{20} & +  0.41 x_{1} & +  0.63 x_{3} & +  0.03 x_{21} & -0.03 x_{32} & -0.45 x_{11} & -0.04 x_{25} & -0.04 x_{17} & -0.02 x_{18} & +  0.25 x_{2} & -0.03 x_{31} & -0.02 x_{26} & -1.48 x_{7} & -1.12 x_{8} & -0.01 x_{29}\\
 x_{28}   &  10.3513539916 & +  0.57 x_{20} & + 27.86 x_{1} & + 27.61 x_{3} & +  0.19 x_{21} & -0.47 x_{32} & -11.42 x_{11} & +  0.68 x_{25} & -1.01 x_{17} & -1.07 x_{18} & + 12.96 x_{2} & -0.60 x_{31} & -0.96 x_{26} & -34.66 x_{7} & -34.19 x_{8} & -2.14 x_{29}\\
 x_{15}   &  2.96526503527 & +  0.01 x_{20} & +  1.25 x_{1} & +  1.03 x_{3} & +  0.02 x_{21} & -0.02 x_{32} & +  0.01 x_{11} & +  0.02 x_{25} & -0.05 x_{17} & -0.01 x_{18} & +  0.67 x_{2} & -0.03 x_{31} & -0.08 x_{26} & -1.44 x_{7} & -1.33 x_{8} & -0.06 x_{29}\\
 x_{19}   &  9.27081024749 & +  0.02 x_{20} & -10.15 x_{1} & +  9.97 x_{3} & -0.16 x_{21} & -0.52 x_{32} & +  1.80 x_{11} & -0.31 x_{25} & +  0.39 x_{17} & +  0.52 x_{18} & -0.45 x_{2} & +  0.24 x_{31} & +  0.26 x_{26} & +  2.04 x_{7} & -5.60 x_{8} & +  0.15 x_{29}\\
 x_{23}   &  52.5040868047 & -0.00 x_{20} & + 28.44 x_{1} & +  9.00 x_{3} & +  0.69 x_{21} & -0.60 x_{32} & -14.07 x_{11} & -0.74 x_{25} & -0.45 x_{17} & -0.86 x_{18} & +  4.55 x_{2} & +  0.06 x_{31} & -1.20 x_{26} & -29.67 x_{7} & -16.87 x_{8} & -1.77 x_{29}\\
 x_{4}   &  3.46202144408 & +  0.04 x_{20} & +  1.10 x_{1} & +  1.22 x_{3} & +  0.01 x_{21} & -0.06 x_{32} & -0.74 x_{11} & -0.02 x_{25} & -0.02 x_{17} & -0.05 x_{18} & +  0.47 x_{2} & -0.02 x_{31} & -0.07 x_{26} & -1.36 x_{7} & -1.80 x_{8} & -0.13 x_{29}\\
 x_{22}   &  6.02071948336 & +  0.50 x_{20} & +  0.85 x_{1} & -1.29 x_{3} & +  0.09 x_{21} & +  0.39 x_{32} & +  6.19 x_{11} & +  0.76 x_{25} & +  0.21 x_{17} & +  0.59 x_{18} & + 13.85 x_{2} & -0.36 x_{31} & -0.06 x_{26} & -4.48 x_{7} & +  6.28 x_{8} & +  0.39 x_{29}\\
 x_{16}   &  49.7376236459 & +  0.70 x_{20} & + 16.51 x_{1} & + 14.91 x_{3} & +  0.58 x_{21} & +  0.20 x_{32} & -13.37 x_{11} & -0.58 x_{25} & -0.89 x_{17} & -1.01 x_{18} & -6.46 x_{2} & -0.30 x_{31} & -0.82 x_{26} & -32.97 x_{7} & -24.17 x_{8} & -0.37 x_{29}\\
 x_{13}   &  1.14387529904 & -0.03 x_{20} & +  0.09 x_{1} & -0.82 x_{3} & -0.04 x_{21} & +  0.05 x_{32} & +  0.80 x_{11} & -0.03 x_{25} & -0.04 x_{17} & -0.02 x_{18} & -1.52 x_{2} & +  0.03 x_{31} & -0.01 x_{26} & +  0.28 x_{7} & -0.36 x_{8} & -0.02 x_{29}\\
 x_{14}   &  1.74171237863 & +  0.03 x_{20} & +  1.16 x_{1} & +  0.05 x_{3} & +  0.01 x_{21} & +  0.01 x_{32} & -0.48 x_{11} & -0.05 x_{25} & +  0.01 x_{17} & -0.09 x_{18} & -0.19 x_{2} & -0.01 x_{31} & -0.03 x_{26} & -0.75 x_{7} & -0.75 x_{8} & -0.07 x_{29}\\
 x_{24}   &  17.1382383075 & -0.30 x_{20} & +  1.86 x_{1} & -10.80 x_{3} & +  0.06 x_{21} & +  0.11 x_{32} & +  3.45 x_{11} & +  0.45 x_{25} & +  0.70 x_{17} & -0.44 x_{18} & +  7.50 x_{2} & +  0.19 x_{31} & -0.22 x_{26} & -1.81 x_{7} & + 19.07 x_{8} & +  0.08 x_{29}\\
 x_{27}   &  51.0132324566 & -1.25 x_{20} & -29.09 x_{1} & -23.04 x_{3} & -0.51 x_{21} & +  0.52 x_{32} & +  6.94 x_{11} & +  0.14 x_{25} & +  0.60 x_{17} & +  0.35 x_{18} & -19.06 x_{2} & +  0.50 x_{31} & +  1.17 x_{26} & + 19.35 x_{7} & + 24.36 x_{8} & +  0.76 x_{29}\\
 x_{9}   &  2.10683858162 & +  0.01 x_{20} & +  0.08 x_{1} & +  0.14 x_{3} & -0.03 x_{21} & +  0.03 x_{32} & +  0.35 x_{11} & -0.02 x_{25} & -0.01 x_{17} & +  0.01 x_{18} & -0.23 x_{2} & -0.02 x_{31} & -0.02 x_{26} & +  0.17 x_{7} & -0.70 x_{8} & +  0.00 x_{29}\\
 x_{12}   &  1.29937664517 & -0.03 x_{20} & -0.68 x_{1} & -0.04 x_{3} & -0.03 x_{21} & -0.01 x_{32} & +  0.45 x_{11} & -0.02 x_{25} & +  0.04 x_{17} & -0.00 x_{18} & -0.39 x_{2} & +  0.02 x_{31} & -0.02 x_{26} & +  0.29 x_{7} & +  0.24 x_{8} & +  0.01 x_{29}\\
 x_{30}   &  10.6669285494 & +  0.02 x_{20} & + 15.66 x_{1} & -6.11 x_{3} & +  0.19 x_{21} & +  0.40 x_{32} & + 15.44 x_{11} & +  0.18 x_{25} & -1.16 x_{17} & +  0.39 x_{18} & +  5.38 x_{2} & +  0.11 x_{31} & -0.44 x_{26} & -14.00 x_{7} & -3.20 x_{8} & +  0.79 x_{29}\\
 x_{10}   &  0.128373466969 & +  0.03 x_{20} & +  0.56 x_{1} & +  0.30 x_{3} & -0.01 x_{21} & +  0.01 x_{32} & +  0.24 x_{11} & +  0.01 x_{25} & -0.05 x_{17} & -0.02 x_{18} & +  0.10 x_{2} & +  0.00 x_{31} & -0.03 x_{26} & -0.67 x_{7} & -0.89 x_{8} & +  0.02 x_{29}\\
 x_{6}   &  1.01574581053 & -0.00 x_{20} & -0.03 x_{1} & -0.36 x_{3} & +  0.01 x_{21} & +  0.01 x_{32} & +  0.61 x_{11} & -0.05 x_{25} & +  0.02 x_{17} & +  0.00 x_{18} & -0.29 x_{2} & +  0.04 x_{31} & -0.03 x_{26} & +  0.12 x_{7} & +  0.14 x_{8} & +  0.02 x_{29}\\
\hline
z    &  37.093828803 & -0.22 x_{20} & -2.70 x_{1} & -1.79 x_{3} & -0.21 x_{21} & -0.01 x_{32} & -1.06 x_{11} & -0.48 x_{25} & -0.06 x_{17} & -0.31 x_{18} & -11.71 x_{2} & -0.11 x_{31} & -0.16 x_{26} & -1.63 x_{7} & -4.57 x_{8} & -0.52 x_{29}\\
\end{array}\]
Final Dictionary
Solution:  37.093828803
Num Pivots:  25
\end{document}
